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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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cena:
201,24 |
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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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cena:
201,24 |
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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:
201,24 |
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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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977,35 |
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This is an introductory book on Ergodic Theory. The presentation has a slow pace and the book can be read by any person with a background in basic measure theory and metric topology. A new feature of the book is that the basic topics of Ergodic Theory such as the Poincare recurrence lemma, induced automorphisms and Kakutani towers, compressibility and E. Hopf's theorem, the theorem of Ambrose on representation of flows are treated at the descriptive set-theoretic level before their measure-theoretic or topological versions are presented. In addition, topics around the Glimm-Effros theorem are...
This is an introductory book on Ergodic Theory. The presentation has a slow pace and the book can be read by any person with a background in basic mea...
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cena:
195,91 |
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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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cena:
881,59 |
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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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cena:
181,11 |
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Anschauliche Kombinatorische Topologie
ISBN: 9783528089740 / Niemiecki / Miękka / 176 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
206,88 |
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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... |
cena:
201,24 |
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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:
322,01 |
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A Guide to the Classification Theorem for Compact Surfaces
ISBN: 9783642343636 / Angielski / Twarda / 178 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, student-centred approach details a near-complete proof of this theorem, widely admired for its efficacy and formal beauty. The authors present the technical tools needed to deploy the method effectively as well as demonstrating their use in a...
This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem...
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cena:
152,72 |
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Lectures on Analysis on Metric Spaces
ISBN: 9781461265252 / Angielski / Miękka / 141 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Analysis in spaces with no a priori smooth structure has progressed to include concepts from the first order calculus. In particular, there have been important advances in understanding the infinitesimal versus global behavior of Lipschitz functions and quasiconformal mappings in rather general settings; abstract Sobolev space theories have been instrumental in this development. The purpose of this book is to communicate some of the recent work in the area while preparing the reader to study more substantial, related articles. The material can be roughly divided into three different types:...
Analysis in spaces with no a priori smooth structure has progressed to include concepts from the first order calculus. In particular, there have been ...
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cena:
229,43 |
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Sheaf Theory
ISBN: 9781461268543 / Angielski / Miękka / 504 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is primarily concerned with the study of cohomology theories of general topological spaces with "general coefficient systems. " Sheaves play several roles in this study. For example, they provide a suitable notion of "general coefficient systems. " Moreover, they furnish us with a common method of defining various cohomology theories and of comparison between different cohomology theories. The parts of the theory of sheaves covered here are those areas impor- tant to algebraic topology. Sheaf theory is also important in other fields of mathematics, notably algebraic geometry, but...
This book is primarily concerned with the study of cohomology theories of general topological spaces with "general coefficient systems. " Sheaves play...
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cena:
253,42 |
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Topology of Surfaces
ISBN: 9781461269397 / Angielski / Miękka / 281 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. " . . . that famous pedagogical method whereby one begins with the general and proceeds to the particular only after the student is too confused to understand even that anymore. " Michael Spivak This text was written as an antidote to topology courses such as Spivak It is meant to provide the student with an experience in geomet- describes. ric topology. Traditionally, the only topology an undergraduate might see is point-set topology at a fairly abstract level. The next course the average stu- dent would take would be a graduate course in algebraic topology, and such courses are commonly...
" . . . that famous pedagogical method whereby one begins with the general and proceeds to the particular only after the student is too confused to un...
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cena:
225,24 |
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Modern Geometry-- Methods and Applications: Part II: The Geometry and Topology of Manifolds
ISBN: 9781461270119 / Angielski / Miękka / 432 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to...
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects i...
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cena:
281,60 |
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Topology
ISBN: 9781461270188 / Angielski / Miękka / 193 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Contents: Introduction. - Fundamental Concepts. - Topological Vector Spaces.- The Quotient Topology. - Completion of Metric Spaces. - Homotopy. - The Two Countability Axioms. - CW-Complexes. - Construction of Continuous Functions on Topological Spaces. - Covering Spaces. - The Theorem of Tychonoff. - Set Theory (by T. Brcker). - References. - Table of Symbols. -Index.
Contents: Introduction. - Fundamental Concepts. - Topological Vector Spaces.- The Quotient Topology. - Completion of Metric Spaces. - Homotopy. - The ...
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cena:
221,37 |
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Topologie, Band 1, Allgemeine Topologie
ISBN: 9783111012421 / Niemiecki / Twarda / 144 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
cena:
467,22 |
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Simplicial Structures in Topology
ISBN: 9781461426981 / Angielski / Miękka / 243 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The fifth chapter studies closed surfaces and gives their classification. The last chapter of the book is devoted to homotopy groups, which are used in short introduction on obstruction theory. The text is more in tune with the original development of algebraic topology as given by Henry Poincare (singular homology is discussed). Illustrative examples throughout and extensive exercises at the end of each chapter for practice enhance the text....
Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The ...
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cena:
201,24 |
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Introduction to Topological Manifolds
ISBN: 9781461427902 / Angielski / Miękka / 433 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an introduction to manifolds at the beginning graduate level, and accessible to any student who has completed a solid undergraduate degree in mathematics. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Although this second edition has the same basic structure as the first edition, it has been extensively revised and clarified; not a single page has been left untouched. The major changes include a new introduction to CW complexes... This book is an introduction to manifolds at the beginning graduate level, and accessible to any student who has completed a solid undergraduate de... |
cena:
241,50 |
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Regular and Irregular Holonomic D-Modules
ISBN: 9781316613450 / Angielski / Miękka / 117 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.
A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.
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cena:
252,22 |
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