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.

An Illustrated Introduction to Topology and Homotopy (Repost)  

Posted by bookwarrior at Sept. 8, 2015
An Illustrated Introduction to Topology and Homotopy (Repost)

An Illustrated Introduction to Topology and Homotopy By Sasho Kalajdzievski
2015 | 485 Pages | ISBN: 1439848157 | PDF | 13 MB
Algebraic Topology: Homotopy and Group Cohomology (Lecture Notes in Mathematics) by Jaume Aguade

Algebraic Topology: Homotopy and Group Cohomology (Lecture Notes in Mathematics) by Jaume Aguade
English | Feb 26, 1992 | ISBN: 3540551956 | 330 Pages | DJVU | 3 MB

The papers in this collection, all fully refereed, original papers, reflect many aspects of recent significant advances in homotopy theory and group cohomology.
Algebraic Topology from a Homotopical Viewpoint (Universitext) by Marcelo Aguilar [Repost]

Algebraic Topology from a Homotopical Viewpoint (Universitext) by Marcelo Aguilar
Springer; 2002 edition | June 13, 2002 | English | ISBN: 0387954503 | 510 pages | PDF | 24 MB

The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopy-theoretic point of view of algebraic topology.
Nonabelian Algebraic Topology: Filtered Spaces, Crossed Complexes, Cubical Homotopy Groupoids

Ronald Brown, ‎Philip J. Higgins, ‎Rafael Sivera - Nonabelian Algebraic Topology: Filtered Spaces, Crossed Complexes, Cubical Homotopy Groupoids
Published: 2011-08-15 | ISBN: 3037190833 | PDF | 703 pages | 6 MB

An Introduction to Topology and Homotopy  

Posted by phidhahoogaya at March 24, 2011
An Introduction to Topology and Homotopy

An Introduction to Topology and Homotopy
P W S Publishers | June 1991 | ISBN-10: 0534929605 | 448 pages | DJVU | 7.5 MB

The treatment of the subject of this text is not encyclopedic, nor was it designed to be suitable as a reference manual for experts. Rather, it introduces the topics slowly in their historic manner, so that students are not
Algebraic Topology: Homotopy and Group Cohomology by Jaume Aguade [Repost]

Algebraic Topology: Homotopy and Group Cohomology by Jaume Aguade
English | 26 Feb. 1992 | ISBN: 3540551956 | 356 Pages | PDF | 11 MB

The papers in this collection, all fully refereed, original papers, reflect many aspects of recent significant advances in homotopy theory and group cohomology.

Combinatorial Foundation of Homology and Homotopy  

Posted by tanas.olesya at Sept. 12, 2015
Combinatorial Foundation of Homology and Homotopy

Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, by Hans-Joachim Baues
English | 27 Nov. 1998 | ISBN: 3540649840 | 378 Pages | PDF | 13 MB

A new combinatorial foundation of the two concepts, based on a consideration of deep and classical results of homotopy theory, and an axiomatic characterization of the assumptions under which results in this field hold. Includes numerous explicit examples and applications in various fields of topology and algebra.
Fibrewise Homotopy Theory (Springer Monographs in Mathematics) by Michael Charles Crab

Fibrewise Homotopy Theory (Springer Monographs in Mathematics) by Michael Charles Crabb
English | Oct 1, 1998 | ISBN: 1852330147 | 341 Pages | PDF | 10 MB

Topology occupies a central position in the mathematics of today. The concept of the fibre bundle provides an appropriate framework for studying differential geometry.

Operads in Algebra, Topology and Physics by Steve Shnider  

Posted by tanas.olesya at July 18, 2015
Operads in Algebra, Topology and Physics by Steve Shnider

Operads in Algebra, Topology and Physics by Steve Shnider
English | June 1, 2002 | ISBN: 0821821342 | 360 Pages | PDF | 8 MB

Operads are mathematical devices which describe algebraic structures of many varieties and in various categories. Operads are particularly important in categories with a good notion of 'homotopy' where they play a key role in organizing hierarchies of higher homotopies.