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Topologies on Closed and Closed Convex Sets
ISBN: 9789048143337 / Angielski / Miękka / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set convergence on the one hand, and set functionals on the other. The text includes for the first time anywhere an exposition of three topologies that over the past ten years have become fundamental tools in optimization, one-sided analysis, convex analysis, and the theory of multifunctions: the Wijsman topology, the Attouch--Wets topology, and the slice...
This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets ...
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194,08 zł |
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The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds
ISBN: 9789048147359 / Angielski / Miękka / 192 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The Hauptvermutung is the conjecture that any two triangulations of a poly hedron are combinatorially equivalent. The conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that furt her development of high-dimensional topology would lead to a verification in all dimensions. However, in 1961 Milnor constructed high-dimensional polyhedra with combinatorially inequivalent triangulations, disproving the Hauptvermutung in general. These polyhedra...
The Hauptvermutung is the conjecture that any two triangulations of a poly hedron are combinatorially equivalent. The conjecture was formulated at the...
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cena:
621,14 zł |
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Handbook of the History of General Topology
ISBN: 9789048157044 / Angielski / Miękka / 1223 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume mainly focuses on various comprehensive topological theories, with the exception of a paper on combinatorial topology versus point-set topology by I.M. James and a paper on the history of the normal Moore space problem by P. Nyikos. The history of the following theories is given: pointfree topology, locale and frame theory (P. Johnstone), non-symmetric distances in topology (H.-P. K nzi), categorical topology and topological constructs (E. Lowen-Colebunders and B. Lowen), topological groups (M. G. Tkacenko) and finally shape theory (S. Mardesic and J. Segal). Together with the...
This volume mainly focuses on various comprehensive topological theories, with the exception of a paper on combinatorial topology versus point-set top...
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cena:
582,32 zł |
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Topological Fixed Point Principles for Boundary Value Problems
ISBN: 9789048163182 / Angielski / Miękka / 761 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The book is devoted to the topological fixed point theory both for single-valued and multivalued mappings in locally convex spaces, including its application to boundary value problems for ordinary differential equations (inclusions) and to (multivalued) dynamical systems. It is the first monograph dealing with the topological fixed point theory in non-metric spaces. Although the theoretical material was tendentiously selected with respect to applications, the text is self-contained. Therefore, three appendices concerning almost-periodic and derivo-periodic single-valued (multivalued)... The book is devoted to the topological fixed point theory both for single-valued and multivalued mappings in locally convex spaces, including its a... |
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194,08 zł |
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Monopoles and Three-Manifolds
ISBN: 9780521184762 / Angielski / Miękka / 810 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This book provides a comprehensive treatment of Floer homology, based on the Seiberg Witten monopole equations. After first providing an overview of the results, the authors develop the analytic properties of the Seiberg Witten equations, assuming only a basic grounding in differential geometry and analysis. The Floer groups of a general three-manifold are then defined and their properties studied in detail....
Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-...
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cena:
468,42 zł |
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Topology of Stratified Spaces
ISBN: 9780521191678 / Angielski / Twarda / 477 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Appearance of singularities is pervasive in many problems in topology, differential geometry, and algebraic geometry. This book concerns the study of singular spaces using techniques from a variety of areas of geometry and topology and the interactions among them. Expository chapters by well-known experts cover intersection homology, L2 cohomology and differential operators, topology of algebraic varieties, signatures and characteristic classes, mixed Hodge theory, and elliptic genera of singular complex and real algebraic varieties. The book concludes with a list of open problems.
Appearance of singularities is pervasive in many problems in topology, differential geometry, and algebraic geometry. This book concerns the study of ...
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cena:
703,17 zł |
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Differential Algebras in Topology
ISBN: 9781568810010 / Angielski / Twarda / 302 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This research monograph in the field of algebraic topology contains many thought-provoking discussions of open problems and promising research directions.
This research monograph in the field of algebraic topology contains many thought-provoking discussions of open problems and promising research directi...
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cena:
912,96 zł |
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Discrete Iterated Function Systems
ISBN: 9781568810157 / Angielski / Twarda / 200 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Written for researchers and developers applying Integrated Function Systems in the creation of fractal images, this book presents a modification of a widely used probabilistic algorithm for generating IFS-encoded images. The book also includes a discussion of how IFS techniques can be applied to produce animated motion pictures.
Written for researchers and developers applying Integrated Function Systems in the creation of fractal images, this book presents a modification of a ...
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cena:
808,63 zł |
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Dynamical Systems VIII: Singularity Theory II. Applications
ISBN: 9783642081019 / Angielski / Miękka / 238 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In the first volume of this survey (Arnol'd et al. (1988), hereafter cited as "EMS 6") we acquainted the reader with the basic concepts and methods of the theory of singularities of smooth mappings and functions. This theory has numerous applications in mathematics and physics; here we begin describing these applica tions. Nevertheless the present volume is essentially independent of the first one: all of the concepts of singularity theory that we use are introduced in the course of the presentation, and references to EMS 6 are confined to the citation of technical results. Although our main...
In the first volume of this survey (Arnol'd et al. (1988), hereafter cited as "EMS 6") we acquainted the reader with the basic concepts and methods of...
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cena:
388,20 zł |
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Cyclic Homology
ISBN: 9783642083167 / Angielski / Miękka / 516 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras and algebraic K-theory and an introduction to Connes'work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology. The bibliographic comments at the end of each chapter offer good suggestions for further reading and research. The book can be strongly recommended to anybody interested in... From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cycl... |
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543,49 zł |
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High-dimensional Knot Theory: Algebraic Surgery in Codimension 2
ISBN: 9783642083297 / Angielski / Miękka / 646 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional study of knots in the case n=1. The main theme is the application of the author's algebraic theory of surgery to provide a unified treatment of the invariants of codimension 2 embeddings, generalizing the Alexander polynomials and Seifert forms of classical knot theory. Many results in the research literature are thus brought into a single framework, and new results are obtained. The treatment is particularly effective in dealing with open books,...
High-dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional st...
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cena:
388,20 zł |
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Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras,
ISBN: 9783642084478 / Angielski / Miękka / 365 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold. This leads to a new combinatorial foundation of homology and homotopy. Numerous explicit examples and applications in various fields of topology and algebra are given.
In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness ob...
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cena:
388,20 zł |
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Intuitive Concepts in Elementary Topology
ISBN: 9780486481999 / Angielski / Miękka / 182 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Classroom-tested and much-cited, this concise text offers a valuable and instructive introduction for undergraduates to the basic concepts of topology. It takes an intuitive rather than an axiomatic viewpoint, and can serve as a supplement as well as a primary text.
A few selected topics allow students to acquire a feeling for the types of results and the methods of proof in mathematics, including mathematical induction. Subsequent problems deal with networks and maps, provide practice in recognizing topological equivalence of figures, examine a proof of the Jordan curve theorem for the... Classroom-tested and much-cited, this concise text offers a valuable and instructive introduction for undergraduates to the basic concepts of topology...
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cena:
56,02 zł |
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A Primer on Mapping Class Groups (Pms-49)
ISBN: 9780691147949 / Angielski / Twarda / 488 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students.
The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, to... |
cena:
450,30 zł |
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Groups of Circle Diffeomorphisms
ISBN: 9780226569512 / Angielski / Twarda / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years scholars from a variety of branches of mathematics have made several significant developments in the theory of group actions. Groups of Circle Diffeomorphisms systematically explores group actions on the simplest closed manifold, the circle. As the group of circle diffeomorphisms is an important subject in modern mathematics, this book will be of interest to those doing research in group theory, dynamical systems, low dimensional geometry and topology, and foliation theory. The book is mostly self-contained and also includes numerous complementary exercises, making... In recent years scholars from a variety of branches of mathematics have made several significant developments in the theory of group actions. Gr... |
cena:
247,12 zł |
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Polynomial Invariants Finite Group
ISBN: 9781568810539 / Angielski / Twarda / 382 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Written by an algebraic topologist motivated by his own desire to learn, this well-written book represents the compilation of the most essential and interesting results and methods in the theory of polynomial invariants of finite groups. From the table of contents: - Invariants and Relative Invariants - Finite Generation of Invariants - Construction of Invariants - Poincare Series - Dimension Theoretic Properties of Rings of Invariants - Homological Properties of Invariants - Groups Generated by Reflections - Modular Invariants - Polynomial Tensor Exterior Algebras - Invariant Theory and...
Written by an algebraic topologist motivated by his own desire to learn, this well-written book represents the compilation of the most essential and i...
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cena:
912,96 zł |
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Foundations of Differentiable Manifolds and Lie Groups
ISBN: 9781441928207 / Angielski / Miękka / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. It includes differentiable manifolds, tensors and differentiable forms. Lie groups and homogenous spaces, integration on manifolds, and in addition provides a proof of the de Rham theorem via sheaf cohomology theory, and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem. Those interested in any of the diverse areas of mathematics requiring the notion of a differentiable manifold will find this...
Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie ...
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cena:
232,90 zł |
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General Topology
ISBN: 9781441928238 / Angielski / Miękka / 141 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a course in general topology, intended for students in the first year of the second cycle (in other words, students in their third univer- sity year). The course was taught during the first semester of the 1979-80 academic year (three hours a week of lecture, four hours a week of guided work). Topology is the study of the notions of limit and continuity and thus is, in principle, very ancient. However, we shall limit ourselves to the origins of the theory since the nineteenth century. One of the sources of topology is the effort to clarify the theory of real-valued functions of a...
This book is a course in general topology, intended for students in the first year of the second cycle (in other words, students in their third univer...
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cena:
213,50 zł |
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Measure, Topology, and Fractal Geometry
ISBN: 9781441925695 / Angielski / Miękka / 272 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From reviews of the first edition: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal." Starting with Benoit Mandelbrot's remarkable text The Fractal Geometry of Nature, there has been a deluge of books, articles and television programmes about the beautiful mathematical objects, drawn by computers using recursive or iterative algorithms, which Mandelbrot christened fractals. Gerald Edgar's book is a significant addition to this deluge. Based on a course given to talented high- school students at Ohio University in 1988, it is, in fact,... From reviews of the first edition: "In the world of mathematics, the 1980's might well be described as the "decade of the fractal." Startin... |
cena:
158,98 zł |
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The Geometry of Minkowski Spacetime: An Introduction to the Mathematics of the Special Theory of Relativity
ISBN: 9781441931023 / Angielski / Miękka / 259 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usual menu of topics one is accustomed to finding in introductions to special relativity, a wide variety of results of more contemporary origin. These include Zeeman's characterization of the causal automorphisms of Minkowski spacetime, the Penrose theorem on the apparent shape of a relativistically moving sphere, a detailed introduction to the theory of spinors, a Petrov-type...
This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the phys...
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cena:
228,60 zł |
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