**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 Lecture Notes**

by

**Thomas Ward**-

**UEA**

Contents: Topological and Metric Spaces, Homotopy Exquivalence, Fundamental Groups, Covering Spaces and Applications, Classification of Surfaces, Simplicial Complexes and Homology Groups, Homology Calculations, Simplicial Approximation, etc.

(

**7744**views)

**A Topology Primer**

by

**Klaus Wirthmüller**-

**Technische Universität Kaiserslautern**

The purpose of this text is to make familiar with the basics of topology, to give a concise introduction to homotopy, and to make students familiar with homology. Readers are expected to have knowledge of analysis and linear algebra.

(

**8550**views)

**Introduction to Topological Groups**

by

**Dikran Dikranjan**-

**UCM**

These notes provide a brief introduction to topological groups with a special emphasis on Pontryaginvan Kampen's duality theorem for locally compact abelian groups. We give a completely self-contained elementary proof of the theorem.

(

**6687**views)

**An Elementary Illustrated Introduction to Simplicial Sets**

by

**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.

(

**4278**views)