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
Homotopy Theories and Model Categoriesby W. G. Dwyer, J. Spalinski - University of Notre Dame
This paper is an introduction to the theory of model categories. The prerequisites needed for understanding this text are some familiarity with CW-complexes, chain complexes, and the basic terminology associated with categories.
(11134 views)
The Geometry of Iterated Loop Spacesby J. P. May - Springer
A paper devoted to the study of iterated loop spaces. Our goal is to develop a simple and coherent theory which encompasses most of the known results about such spaces. We begin with some history and a description of the desiderata of such a theory.
(12478 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.
(12573 views)
Lectures on Etale Cohomologyby J. S. Milne
These are the notes for a course taught at the University of Michigan in 1989 and 1998. The emphasis is on heuristic arguments rather than formal proofs and on varieties rather than schemes. The notes also discuss the proof of the Weil conjectures.
(11361 views)