Homotopy Topology

Complements of Discriminants of Smooth Maps: Topology and Applications (Translations of Mathematical Monographs, Book 98)

Complements of Discriminants of Smooth Maps: Topology and Applications (Translations of Mathematical Monographs, Book 98) by V. A. Vassiliev
English | 1992 | ISBN: 0821846183 | ISBN-13: 9780821846186 | 265 pages | PDF | 2,8 MB

This book studies a large class of topological spaces, many of which play an important role in differential and homotopy topology, algebraic geometry, and catastrophe theory. These include spaces of Morse and generalized Morse functions, iterated loop spaces of spheres, spaces of braid groups, and spaces of knots and links.

Introduction to Topology  eBooks & eLearning

Posted by roxul at Jan. 8, 2018
Introduction to Topology

Theodore W. Gamelin, Robert Everist Greene, "Introduction to Topology"
English | ISBN: 0486406806 | 1999 | 242 pages | DJVU | 2 MB

Simplicial and Operad Methods in Algebraic Topology  eBooks & eLearning

Posted by step778 at Dec. 26, 2017
Simplicial and Operad Methods in Algebraic Topology

V. A. Smirnov, "Simplicial and Operad Methods in Algebraic Topology"
2001 | pages: 249 | ISBN: 0821821709 | DJVU | 2,2 mb

Combinatorial And Toric Homotopy  eBooks & eLearning

Posted by Underaglassmoon at Dec. 4, 2017
Combinatorial And Toric Homotopy

Combinatorial And Toric Homotopy: Introductory Lectures
World Scientific | English | 2018 | ISBN-10: 9813226560 | 448 pages | PDF | 7.21 mb

by Jie Wu (Author),‎ Alastair Darby (Editor),‎ Jelena Grbic (Editor)

Essential Topology (Repost)  eBooks & eLearning

Posted by AvaxGenius at Nov. 6, 2017
Essential Topology (Repost)

Essential Topology By Martin D. Crossley
English | PDF | 2005 | 231 Pages | ISBN : 1852337826 | 4.22 MB

Taking a direct route, Essential Topology brings the most important aspects of modern topology within reach of a second-year undergraduate student. Based on courses given at the University of Wales Swansea, it begins with a discussion of continuity and, by way of many examples, leads to the celebrated "Hairy Ball theorem" and on to homotopy and homology: the cornerstones of contemporary algebraic topology.

Syzygies and Homotopy Theory  eBooks & eLearning

Posted by AvaxGenius at Oct. 18, 2017
Syzygies and Homotopy Theory

Syzygies and Homotopy Theory By F.E.A. Johnson
English | PDF(Repost),EPUB | 2012 | 307 Pages | ISBN : 1447122933 | 7.02 MB

The most important invariant of a topological space is its fundamental group. When this is trivial, the resulting homotopy theory is well researched and familiar. In the general case, however, homotopy theory over nontrivial fundamental groups is much more problematic and far less well understood.

Grassmannians and Gauss Maps in Piecewise-Linear Topology  eBooks & eLearning

Posted by ChrisRedfield at Dec. 12, 2017
Grassmannians and Gauss Maps in Piecewise-Linear Topology

Norman Levitt - Grassmannians and Gauss Maps in Piecewise-Linear Topology
Published: 1989-03-22 | ISBN: 3540507566 | PDF + DJVU | 203 pages | 7.35 MB

Algebraic Topology: A First Course (Repost)  eBooks & eLearning

Posted by First1 at Dec. 8, 2017
Algebraic Topology: A First Course (Repost)

Algebraic Topology: A First Course (Repost) by William Fulton
English | 1995 | ISBN: 0387943277, 3540943277 | 435 Pages | PDF | 29.54 MB

This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the relations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differential topology, etc.), we concentrate our attention on concrete problems in low dimensions, introducing only as much algebraic machinery as necessary for the problems we meet. This makes it possible to see a wider variety of important features of the subject than is usual in a beginning text.

Algebraic Topology: A First Course  eBooks & eLearning

Posted by tarantoga at Dec. 8, 2017
Algebraic Topology: A First Course

William Fulton, "Algebraic Topology: A First Course (Graduate Texts in Mathematics)"
ISBN: 0387943277 | 1997 | EPUB | 430 pages | 6 MB

Toric Topology  eBooks & eLearning

Posted by interes at Oct. 31, 2017
Toric Topology

Toric Topology (Mathematical Surveys and Monographs) by Victor M. Buchstaber and Taras E. Panov
English | 2015 | ISBN: 147042214X, 0821844865 | 518 pages | PDF | 3,5 MB