**E 'Infinite' Ring Spaces and E 'Infinite' Ring Spectra**

by J. P. May

**Publisher**: Springer 1977**ISBN/ASIN**: 3540081364**ISBN-13**: 9783540081364**Number of pages**: 280

**Description**:

The theme of this book is infinite loop space theory and its multiplicative elaboration. This is the appropriate framework for the most structured development of algebraic K-theory, by which we understand the homotopy theory of discrete categories, and one of the main goals of this volume is a complete analysis of the relationship between the classifying spaces of geometric topology and the infinite loop spaces of algebraic K-theory.

Download or read it online for free here:

**Download link**

(8.9MB, PDF)

## Similar books

**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.

(

**5974**views)

**The Classification Theorem for Compact Surfaces**

by

**Jean Gallier, Dianna Xu**

In this book the authors present the technical tools needed for proving rigorously the classification theorem, give a detailed proof using these tools, and also discuss the history of the theorem and its various proofs.

(

**10879**views)

**H Ring Spectra and Their Applications**

by

**R. R. Bruner, J. P. May, J. E. McClure, M. Steinberger**-

**Springer**

This volume concerns spectra with enriched multiplicative structure. It is a truism that interesting cohomology theories are represented by ring spectra, the product on the spectrum giving rise to the cup products in the theory.

(

**6101**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.

(

**6892**views)