Cubical homotopy theory
Munson, Brian A.
1976-
creator
author.
Volić, Ismar
1973-
author.
text
enk
2015
monographic
eng
1 online resource (xv, 631 pages) : digital, PDF file(s).
Graduate students and researchers alike will benefit from this treatment of classical and modern topics in homotopy theory of topological spaces with an emphasis on cubical diagrams. The book contains 300 examples and provides detailed explanations of many fundamental results. Part I focuses on foundational material on homotopy theory, viewed through the lens of cubical diagrams: fibrations and cofibrations, homotopy pullbacks and pushouts, and the Blakers-Massey Theorem. Part II includes a brief example-driven introduction to categories, limits and colimits, an accessible account of homotopy limits and colimits of diagrams of spaces, and a treatment of cosimplicial spaces. The book finishes with applications to some exciting new topics that use cubical diagrams: an overview of two versions of calculus of functors and an account of recent developments in the study of the topology of spaces of knots.
Brian A. Munson, United States Naval Academy, Maryland, Ismar Volić, Wellesley College, Massachusetts.
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Homotopy theory
Cube
Algebraic topology
QA612.7 .M86 2015
514/.24
New mathematical monographs ; 25
9781139343329 (ebook)
https://doi.org/10.1017/CBO9781139343329
https://doi.org/10.1017/CBO9781139343329
UkCbUP
120309
20200124160214.0
CR9781139343329
eng