**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

**Topics in topology: The signature theorem and some of its applications**

by

**Liviu I. Nicolaescu**-

**University of Notre Dame**

The author discusses several exciting topological developments which radically changed the way we think about many issues. Topics covered: Poincare duality, Thom isomorphism, Euler, Chern and Pontryagin classes, cobordisms groups, signature formula.

(

**6004**views)

**Lectures on Introduction to Algebraic Topology**

by

**G. de Rham**-

**Tata Institute of Fundamental Research**

These notes were intended as a first introduction to algebraic Topology. Contents: Definition and general properties of the fundamental group; Free products of groups and their quotients; On calculation of fundamental groups; and more.

(

**5647**views)

**An Introduction to Algebraic Surgery**

by

**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.

(

**6768**views)

**Lecture Notes on Motivic Cohomology**

by

**Carlo Mazza, Vladimir Voevodsky, Charles Weibel**-

**AMS**

This book provides an account of the triangulated theory of motives. Its purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings.

(

**5870**views)