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Topology, Second Edition
2 August 2010

Topology, Second Edition
Topology, Second Edition
2007 | 537 pages | ISBN:0131816292 | PDF | 8 Mb

This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms.
James Munkres Topology 2nd Edition
29 January 2012

James Munkres Topology 2nd Edition

James Munkres Topology 2nd Edition
2000 | ISBN: 0131816292 | English | PDF | 537 pages | 17.44 Mb

This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.
Topology: General and Algebraic Topology and Applications
3 August 2013

Topology: General and Algebraic Topology and Applications
Topology: General and Algebraic Topology and Applications
Sðringår-Verlag | 1984 | ISBN: 0387133372 3540133372 9783540133377 | 413 pages | djvu | 11 MB

The papers in this issue reflect advances in topology and applications and to stimulate discussions for new directions and for future research. All main branches of topology were represented ranging from the most abstract branches of set-theoretical topology to the applications of geometrical ideas in theoretical physics.
Topology: Point-Set and Geometric
3 August 2010

Topology: Point-Set and Geometric
Topology: Point-Set and Geometric
2007 | 296 pages | ISBN:0470096055 | PDF | 8 Mb

Topology: Point-Set and Geometric presents an introduction to topology that begins with the axiomatic definition of a topology on a set, rather than starting with metric spaces or the topology of subsets of Rn. This approach includes many more examples, allowing students to develop more sophisticated intuition and enabling them to learn how to write precise proofs in a brand-new context, which is an invaluable experience for math majors.
Elementary Topology
2 August 2010

Elementary Topology
Elementary Topology
2007 | 400 pages | ISBN:0821845063 | PDF | 8 Mb

The reader who has mastered the core material acquires a strong background in elementary topology and will feel at home in the environment of abstract mathematics. With almost no prerequisites (except real numbers), the book can serve as a text for a course on general and beginning algebraic topology.
Topology and Groupoids
12 February 2011

Topology and Groupoids

Topology and Groupoids

2006 | 538 | ISBN: 1419627228 | PDF | 2 Mb

The book is intended as a text for a two-semester course in topology and algebraic topology at the advanced undergraduate or beginning graduate level. There are over 500 exercises, 114 figures, numerous diagrams. The general direction of the book is toward homotopy theory with a geometric point of view. This book would provide a more than adequate background for a standard algebraic topology course that begins with homology theory....
Geometry, Topology and Physics
2 August 2010

Geometry, Topology and Physics
Geometry, Topology and Physics
2007 | 520 pages | ISBN:0852740956 | PDF | 5.8 Mb

The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.
Low-Dimensional Topology
30 September 2011

Low-Dimensional Topology

Low-Dimensional Topology

1982 | 260 | ISBN: 0521281466 | DJVU | 1 Mb

This volume consists of the proceedings of a conference held at the University College of North Wales Bangor in July of 1979. It assembles research papers which reflect diverse currents in low-dimensional topology. The topology of 3-manifolds, hyperbolic geometry and knot theory emerge as major themes. ...
Techniques of Geometric Topology
4 June 2011

Techniques of Geometric Topology

Techniques of Geometric Topology

1983 | 288 | ISBN: 0521284724 | DJVU | 3 Mb

The purpose of this book is to explain the basic techniques of algebraic topology with illustrations and examples from low dimensional topology. I hope that this book will prove useful to aII students with a smattering of algebraic topology who wish to learn more, but I also hope that even the experts will find something in here to interest them. ...
Geometric Topology in Dimensions 2 and 3
3 August 2011

Geometric Topology in Dimensions 2 and 3

Geometric Topology in Dimensions 2 and 3

1977 | 262 | ISBN: 0387902201 | DJVU | 3 Mb

3540902201Moise's "Geometric Topology in Dimensions 2 and 3" was somewhat of an anachronism even when it was first published in 1977, containing no result from after 1960, and with much of it dating from decades earlier. This introductory text in low-dimensional PL topology is both inadequate as a PL topology book (the standard references are Rourke and Sanderson or Hudson for this now-disused subject) and hopelessly outdated as a 3-manifold topology book. But it does have one major saving grace: It contains just about the only modern and complete coverage of classical theorems such as the Hauptvermutung and triangularization theorem of Rado that are frequently cited but not proved. ...