The Homology of Iterated Loop Spaces
by F. R. Cohen, T. J. Lada, P. J. May
Publisher: Springer 2009
ISBN/ASIN: 354007984X
ISBN-13: 9783540079842
Number of pages: 490
Description:
This volume is a collection of five papers. The first four together give a thorough treatment of homology operations and of their application to the calculation of, and analysis of internal structure in, the homologies of various spaces of interest. The last studies an up to homotopy notion of an algebra over a monad and the role of this notion in the theory of iterated loop spaces.
Download or read it online for free here:
Download link
(15MB, PDF)
Similar books
Topology Illustratedby Peter Saveliev - Intelligent Perception
The text follows the content of a fairly typical, two-semester, first course in topology. Some of the topics are: the shape of the universe, configuration spaces, digital image analysis, data analysis, social choice, and, of course, calculus.
(14274 views)
Notes on the course Algebraic Topologyby Boris Botvinnik - University of Oregon
Contents: Important examples of topological spaces; Constructions; Homotopy and homotopy equivalence; CW-complexes and homotopy; Fundamental group; Covering spaces; Higher homotopy groups; Fiber bundles; Suspension Theorem and Whitehead product; etc.
(11775 views)
An Introduction to Algebraic Surgeryby Andrew Ranicki - arXiv
Browder-Novikov-Sullivan-Wall surgery theory investigates the homotopy types of manifolds, using a combination of algebra and topology. It is the aim of these notes to provide an introduction to the more algebraic aspects of the theory.
(12309 views)
An Elementary Illustrated Introduction to Simplicial Setsby Greg Friedman - arXiv.org
This is an introduction to simplicial sets and simplicial homotopy theory with a focus on the combinatorial aspects of the theory and their geometric/topological origins. Accessible to students familiar with the fundamentals of algebraic topology.
(10158 views)