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.

Building Bridges Between Algebra and Topology  eBooks & eLearning

Posted by AvaxGenius at March 31, 2018
Building Bridges Between Algebra and Topology

Building Bridges Between Algebra and Topology By Wojciech Chachólski
English | PDF | 2018 | 235 Pages | ISBN : 3319701568 | 2.29 MB

This volume presents an elaborated version of lecture notes for two advanced courses: (Re)Emerging methods in Commutative Algebra and Representation Theory and Building Bridges Between Algebra and Topology, held at the CRM in the spring of 2015.

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.

Women in Topology: Collaborations in Homotopy Theory  eBooks & eLearning

Posted by nebulae at Sept. 29, 2017
Women in Topology: Collaborations in Homotopy Theory

Maria Basterra, Kristine Bauer, Kathryn Hess, Brenda Johnson, "Women in Topology: Collaborations in Homotopy Theory"
English | ISBN: 1470410133 | 2015 | 178 pages | PDF | 2 MB

Homotopy Methods in Topological Fixed and Periodic Points Theory  eBooks & eLearning

Posted by step778 at April 12, 2018
Homotopy Methods in Topological Fixed and Periodic Points Theory

Jerzy Jezierski, Waclaw Marzantowicz, "Homotopy Methods in Topological Fixed and Periodic Points Theory"
2005 | pages: 326 | ISBN: 1402039301 | PDF | 2,7 mb

Differential Topology  eBooks & eLearning

Posted by DZ123 at March 5, 2018
Differential Topology

Victor Guillemin, Alan Pollack, "Differential Topology"
English | 2010 | ISBN: 0821851934 | DJVU | pages: 222 | 2.1 mb
Stein Manifolds and Holomorphic Mappings The Homotopy Principle in Complex Analysis, Second Edition

Franc Forstnerič, "Stein Manifolds and Holomorphic Mappings The Homotopy Principle in Complex Analysis, Second Edition"
English | EPUB | 2017 | 569 Pages | ISBN : 3319610570 | 17 MB