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An Introduction to Algebraic Topology
ISBN: 9781461289302 / Angielski / Miękka / 437 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J. H. C. Whitehead. Of course, this is false, as a glance at the books of Hilton and Wylie, Maunder, Munkres, and Schubert reveals. Still, the canard does reflect some truth. Too often one finds too much generality and too little attention to details. There are two types of obstacle for the student learning algebraic topology. The first is the formidable array of new techniques (e. g., most students know very little homological algebra); the second...
There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J. H...
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244,40 zł |
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Topological and Uniform Spaces
ISBN: 9781461291282 / Angielski / Miękka / 164 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is based on lectures I have given to undergraduate and graduate audiences at Oxford and elsewhere over the years. My aim has been to provide an outline of both the topological theory and the uniform theory, with an emphasis on the relation between the two. Although I hope that the prospec- tive specialist may find it useful as an introduction it is the non-specialist I have had more in mind in selecting the contents. Thus I have tended to avoid the ingenious examples and counterexamples which often occupy much ofthe space in books on general topology, and I have tried to keep the...
This book is based on lectures I have given to undergraduate and graduate audiences at Oxford and elsewhere over the years. My aim has been to provide...
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194,08 zł |
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General Topology and Homotopy Theory
ISBN: 9781461382850 / Angielski / Miękka / 248 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Students of topology rightly complain that much of the basic material in the subject cannot easily be found in the literature, at least not in a convenient form. In this book I have tried to take a fresh look at some of this basic material and to organize it in a coherent fashion. The text is as self-contained as I could reasonably make it and should be quite accessible to anyone who has an elementary knowledge of point-set topology and group theory. This book is based on a course of 16 graduate lectures given at Oxford and elsewhere from time to time. In a course of that length one cannot...
Students of topology rightly complain that much of the basic material in the subject cannot easily be found in the literature, at least not in a conve...
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194,08 zł |
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Algebraic Topology and Its Applications
ISBN: 9781461395287 / Angielski / Miękka / 267 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1989-90 the Mathematical Sciences Research Institute conducted a program on Algebraic Topology and its Applications. The main areas of concentration were homotopy theory, K-theory, and applications to geometric topology, gauge theory, and moduli spaces. Workshops were conducted in these three areas. This volume consists of invited, expository articles on the topics studied during this program. They describe recent advances and point to possible new directions. They should prove to be useful references for researchers in Algebraic Topology and related fields, as well as to...
In 1989-90 the Mathematical Sciences Research Institute conducted a program on Algebraic Topology and its Applications. The main areas ...
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388,20 zł |
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Instantons and Four-Manifolds
ISBN: 9781461397052 / Angielski / Miękka / 194 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews of the first edition: "This book exposes the beautiful confluence of deep techniques and ideas from mathematical physics and the topological study of the differentiable structure of compact four-dimensional manifolds, compact spaces locally modeled on the world in which we live and operate... The book is filled with insightful remarks, proofs, and contributions that have never before appeared in print. For anyone attempting to understand the work of Donaldson and the applications of gauge theories to four-dimensional topology, the book is a must." #Science#1 "I...
From the reviews of the first edition: "This book exposes the beautiful confluence of deep techniques and ideas from mathematical physics and ...
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543,49 zł |
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Algebraic Topology: New Trends in Localization and Periodicity: Barcelona Conference on Algebraic Topology, Sant Feliu de Guíxols, Spain, June 1-7, 19
ISBN: 9783034898690 / Angielski / Miękka / 400 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Central to this collection of papers are new developments in the general theory of localization of spaces. This field has undergone tremendous change of late and is yielding new insight into the mysteries of classical homotopy theory. The present volume comprises the refereed articles submitted at the Conference on Algebraic Topology held in Sant Feliu de Guixols, Spain, in June 1994. Several comprehensive articles on general localization clarify the basic tools and give a report on the state of the art in the subject matter. The text is therefore accessible not only to the professional...
Central to this collection of papers are new developments in the general theory of localization of spaces. This field has undergone tremendous change ...
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194,08 zł |
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Involutions on Manifolds
ISBN: 9783642650147 / Angielski / Miękka / 106 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book contains the results of work done during the years 1967-1970 on fixed-point-free involutions on manifolds, and is an enlarged version of the author's doctoral dissertation [54J written under the direction of Professor William Browder. The subject of fixed-paint-free involutions, as part of the subject of group actions on manifolds, has been an important source of problems, examples and ideas in topology for the last four decades, and receives renewed attention every time a new technical development suggests new questions and methods ([62, 8, 24, 63J). Here we consider mainly those...
This book contains the results of work done during the years 1967-1970 on fixed-point-free involutions on manifolds, and is an enlarged version of the...
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194,08 zł |
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Continuous Flows in the Plane
ISBN: 9783642655500 / Angielski / Miękka / 464 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Topological Dynamics has its roots deep in the theory of differential equations, specifically in that portion called the "qualitative theory." The most notable early work was that of Poincare and Bendixson, regarding stability of solutions of differential equations, and the subject has grown around this nucleus. It has developed now to a point where it is fully capable of standing on its own feet as a branch of Mathematics studied for its intrinsic interest and beauty, and since the publication of Topological Dynamics by Gottschalk and Hedlund, it has been the subject of widespread study in...
Topological Dynamics has its roots deep in the theory of differential equations, specifically in that portion called the "qualitative theory." The mos...
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194,08 zł |
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Map Color Theorem
ISBN: 9783642657610 / Angielski / Miękka / 194 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1890 P. J. Heawood 35] published a formula which he called the Map Colour Theorem. But he forgot to prove it. Therefore the world of mathematicians called it the Heawood Conjecture. In 1968 the formula was proven and therefore again called the Map Color Theorem. (This book is written in California, thus in American English. ) Beautiful combinatorial methods were developed in order to prove the formula. The proof is divided into twelve cases. In 1966 there were three of them still unsolved. In the academic year 1967/68 J. W. T. Youngs on those three cases at Santa Cruz. Sur invited me to...
In 1890 P. J. Heawood 35] published a formula which he called the Map Colour Theorem. But he forgot to prove it. Therefore the world of mathematician...
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329,96 zł |
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The Theory of Ultrafilters
ISBN: 9783642657825 / Angielski / Miękka / 484 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An ultrafilter is a truth-value assignment to the family of subsets of a set, and a method of convergence to infinity. From the first (logical) property arises its connection with two-valued logic and model theory; from the second (convergence) property arises its connection with topology and set theory. Both these descriptions of an ultrafilter are connected with compactness. The model-theoretic property finds its expression in the construction of the ultraproduct and the compactness type of theorem of Los (implying the compactness theorem of first-order logic); and the convergence property...
An ultrafilter is a truth-value assignment to the family of subsets of a set, and a method of convergence to infinity. From the first (logical) proper...
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504,67 zł |
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Embeddings and Extensions in Analysis
ISBN: 9783642660399 / Angielski / Miękka / 110 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The object of this book is a presentation of the major results relating to two geometrically inspired problems in analysis. One is that of determining which metric spaces can be isometrically embedded in a Hilbert space or, more generally, P in an L space; the other asks for conditions on a pair of metric spaces which will ensure that every contraction or every Lipschitz-Holder map from a subset of X into Y is extendable to a map of the same type from X into Y. The initial work on isometric embedding was begun by K. Menger 1928] with his metric investigations of Euclidean geometries and...
The object of this book is a presentation of the major results relating to two geometrically inspired problems in analysis. One is that of determining...
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194,08 zł |
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Cohomology Theory of Topological Transformation Groups
ISBN: 9783642660542 / Angielski / Miękka / 166 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Historically, applications of algebraic topology to the study of topological transformation groups were originated in the work of L. E. 1. Brouwer on periodic transformations and, a little later, in the beautiful fixed point theorem ofP. A. Smith for prime periodic maps on homology spheres. Upon comparing the fixed point theorem of Smith with its predecessors, the fixed point theorems of Brouwer and Lefschetz, one finds that it is possible, at least for the case of homology spheres, to upgrade the conclusion of mere existence (or non-existence) to the actual determination of the homology type...
Historically, applications of algebraic topology to the study of topological transformation groups were originated in the work of L. E. 1. Brouwer on ...
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194,08 zł |
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General Topology II: Compactness, Homologies of General Spaces
ISBN: 9783642770326 / Angielski / Miękka / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Compactness is related to a number of fundamental concepts of mathemat ics. Particularly important are compact Hausdorff spaces or compacta. Com pactness appeared in mathematics for the first time as one of the main topo logical properties of an interval, a square, a sphere and any closed, bounded subset of a finite dimensional Euclidean space. Once it was realized that pre cisely this property was responsible for a series of fundamental facts related to those sets such as boundedness and uniform continuity of continuous func tions defined on them, compactness was given an abstract definition...
Compactness is related to a number of fundamental concepts of mathemat ics. Particularly important are compact Hausdorff spaces or compacta. Com pactn...
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194,08 zł |
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Topology on Spaces of Holomorphic Mappings
ISBN: 9783642885136 / Angielski / Miękka / 68 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The present report on spaces of holomorphic mappings was prepared for the Sexto Coloquio Brasileiro de Matematica (Po~os de Caldas, Minas Gerais, Brazil, July 1967). I also had the oppor- tunity of giving a series of lectures on this material while I was a visiting member at the Center for Theoretical Studies of the University of Miami (Coral Gables, Florida, USA, February 1968). The preparation of this report was sponsored in part by the USA National Science Foundation through a grant to the University of Rochester. I am glad to thank Professors Paul R. Halmos and Peter J. Hilton for...
The present report on spaces of holomorphic mappings was prepared for the Sexto Coloquio Brasileiro de Matematica (Po~os de Caldas, Minas Gerais, Braz...
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cena:
194,08 zł |
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Topology of Algebraic Curves: An Approach Via Dessins d'Enfants
ISBN: 9783110255911 / Angielski / Twarda / 409 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book summarizes the state and new results on the topology of trigonal curves in geometrically ruled surfaces. Emphasis is placed upon various applications of the theory to related areas, most notably singularplane curves of small degree, elliptic surfaces, and Lefschetz fibrations (both complex and real), and Hurwitz equivalence of braid monodromy factorizations. The monograph conveys recent knowledge about related objects and is of interest to researchers and graduate students in the fields of topology and of complex and real algebraic varieties.
The book summarizes the state and new results on the topology of trigonal curves in geometrically ruled surfaces. Emphasis is placed upon various appl...
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911,22 zł |
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Elements of Differential Topology
ISBN: 9781439831601 / Angielski / Twarda / 319 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Derived from the author's course on the subject, Elements of Differential Topology explores the vast and elegant theories in topology developed by Morse, Thom, Smale, Whitney, Milnor, and others. It begins with differential and integral calculus, leads you through the intricacies of manifold theory, and concludes with discussions on algebraic topology, algebraic/differential geometry, and Lie groups. The first two chapters review differential and integral calculus of several variables and present fundamental results that are used throughout the text. The next few chapters focus on smooth...
Derived from the author's course on the subject, Elements of Differential Topology explores the vast and elegant theories in topology developed by Mor...
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912,96 zł |
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Guts of Surfaces and the Colored Jones Polynomial
ISBN: 9783642333019 / Angielski / Miękka / 170 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild diagrammatic hypotheses, we prove that the growth of the degree of the colored Jones polynomials is a boundary slope of an essential surface in the knot complement. We show that certain coefficients of the polynomial measure how far this surface is from being a fiber for the knot; in particular, the surface is a fiber if and only if a particular coefficient vanishes. We also relate hyperbolic volume to colored...
This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot an...
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174,67 zł |
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Anschauliche Kombinatorische Topologie
ISBN: 9783528089740 / Niemiecki / Miękka / 176 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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199,51 zł |
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Compactifications of Symmetric Spaces
ISBN: 9781461275428 / Angielski / Miękka / 286 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The concept of symmetric space is of central importance in many branches of mathematics. Compactifications of these spaces have been studied from the points of view of representation theory, geometry, and random walks. This work is devoted to the study of the interrelationships among these various compactifications and, in particular, focuses on the martin compactifications. It is the first exposition to treat compactifications of symmetric spaces systematically and to uniformized the various points of view. The work is largely self-contained, with comprehensive references to the... The concept of symmetric space is of central importance in many branches of mathematics. Compactifications of these spaces have been studied from t... |
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194,08 zł |
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Topological Social Choice
ISBN: 9783642645990 / Angielski / Miękka / 212 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The origins of this volume can be traced back to a conference on "Ethics, Economic and Business" organized by Columbia Busi ness School in March of 1993, and held in the splendid facilities of Columbia's Casa Italiana. Preliminary versions of several of the papers were presented at that meeting. In July 1994 the Fields Institute of Mathematical Sciences sponsored a workshop on "Geometry, Topology and Markets": additional papers and more refined versions of the original papers were presented there. They were published in their present versions in Social Choice and Wel fare, volume 14, number...
The origins of this volume can be traced back to a conference on "Ethics, Economic and Business" organized by Columbia Busi ness School in March of 19...
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cena:
310,55 zł |
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