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James Munkres Topology 2nd Edition 29 January 2012 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, 2nd Edition 28 June 2013 Topology, 2nd EditionJames Munkres 2000 | pages: 547 | ISBN: 0131816292 | PDF | 9,7 mb Topology, Second Edition 2 August 2010 Topology, Second Edition2007 | 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. Topology: General and Algebraic Topology and Applications 3 August 2013 Topology: General and Algebraic Topology and ApplicationsSðringår-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. Lectures on the Topology of 3-Manifolds: An Introduction to the Casson Invariant 30 July 2013 Lectures on the Topology of 3-Manifolds: An Introduction to the Casson Invariant by Nikolai SavelievEnglish | (July 1999) | ISBN: 3110162717 | Pages: 199 | DJVU | 5 MB Progress in low-dimensional topology has been very fast over the last two decades, leading to the solutions of many difficult problems. One of the consequences of this "acceleration of history" is that many results have only appeared in professional journals and monographs. Topology: Point-Set and Geometric 3 August 2010 Topology: Point-Set and Geometric2007 | 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. A Combinatorial Introduction to Topology 27 July 2010 A Combinatorial Introduction to TopologyPublisher: Dover Publications | 1994 | PDF | 310 pages | ISBN: 0486679667 | 6.1Mb Excellent text for upper-level undergraduate and graduate students shows how geometric and algebraic ideas met and grew together into an important branch of mathematics. Lucid coverage of vector fields, surfaces, homology of complexes, much more. Some knowledge of differential equations and multivariate calculus required. Many problems and exercises (some solutions) integrated into the text. 1979 edition. Bibliography. A Combinatorial Introduction to Topology 2 August 2010 A Combinatorial Introduction to Topology2000 | 310 pages | ISBN:0486679667 | PDF | 8 Mb Excellent text for upper-level undergraduate and graduate students shows how geometric and algebraic ideas met and grew together into an important branch of mathematics. Lucid coverage of vector fields, surfaces, homology of complexes, much more. Some knowledge of differential equations and multivariate calculus required. Many problems and exercises (some solutions) integrated into the text. 1979 edition. Bibliography. Elementary Topology 2 August 2010 Elementary Topology2007 | 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 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.... |