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What is the Genus?
Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Al…
- Edition
- -
- ISBN/ISSN
- 978-3-319-42312-8
- Collation
- -
- Series Title
- -
- Call Number
- -
Simplicial and Dendroidal Homotopy Theory
This open access book offers a self-contained introduction to the homotopy theory of simplicial and dendroidal sets and spaces. These are essential for the study of categories, operads, and algebraic structure up to coherent homotopy. The dendroidal theory combines the combinatorics of trees with the theory of Quillen model categories. Dendroidal sets are a natural generalization of simplic…
- Edition
- 1
- ISBN/ISSN
- 978-3-031-10447-3
- Collation
- Mathematics
- Series Title
- Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
- Call Number
- 510
Equivariant Ordinary Homology and Cohomology
Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries. The discussion is motivated by reference to a list of instructive “toy” examples and calculations in what is a relatively unexplored field. The authors also provide a reading path for the first-time reader less interested in working through so…
- Edition
- -
- ISBN/ISSN
- 978-3-319-50448-3
- Collation
- 1 b/w illustrations
- Series Title
- -
- Call Number
- -
Topology
This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological spaces and continuous functions; connectedness and compactness; Alexandrov comp…
- Edition
- -
- ISBN/ISSN
- 978-3-319-16958-3
- Collation
- -
- Series Title
- -
- Call Number
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Topologie algébrique Chapitres 1 à 4
Ce livre des Éléments de mathématique est consacré à la Topologie algébrique. Les quatre premiers chapitres présentent la théorie des revêtements d'un espace topologique et du groupe de Poincaré. On construit le revêtement universel d'un espace connexe pointé délaçable et on établit l'équivalence de catégories entre revêtements de cet espace et actions du groupe de Poincaré. …
- Edition
- -
- ISBN/ISSN
- 978-3-662-49361-8
- Collation
- -
- Series Title
- -
- Call Number
- -
The Structure and Stability of Persistence Modules
This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use o…
- Edition
- -
- ISBN/ISSN
- 978-3-319-42545-0
- Collation
- -
- Series Title
- -
- Call Number
- -
Open Problems in the Geometry and Analysis of Banach Spaces
This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-33571-1
- Collation
- XII, 169
- Series Title
- -
- Call Number
- -
What is the Genus
Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Al…
- Edition
- -
- ISBN/ISSN
- 978-3-319-42312-8
- Collation
- XVII, 184
- Series Title
- -
- Call Number
- -
Local Homotopy Theory
This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy theory and the theory of topological modular forms in stable homotopy theory. Beginning with an introduction to the homotopy theory of simplicial sets and topos theory, the book covers core topics such as the unstable homotopy theory of …
- Edition
- -
- ISBN/ISSN
- 978-1-4939-2300-7
- Collation
- -
- Series Title
- -
- Call Number
- -
Extended Abstracts Fall 2013 Geometrical Analysis; Type Theory, Homotopy The…
The two parts of the present volume contain extended conference abstracts corresponding to selected talks given by participants at the "Conference on Geometric Analysis" (thirteen abstracts) and at the "Conference on Type Theory, Homotopy Theory and Univalent Foundations" (seven abstracts), both held at the Centre de Recerca Matemàtica (CRM) in Barcelona from July 1st to 5th, 2013, and from Se…
- Edition
- -
- ISBN/ISSN
- 978-3-319-21284-5
- Collation
- VI, 110
- Series Title
- -
- Call Number
- -
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