Differential Algebras in Topology

Name: Differential Algebras in Topology
ISBN: 9780429065064

doi:10.1201/9781439864593

Book

ABSTRACT

This research monograph in the field of algebraic topology contains many thought-provoking discussions of open problems and promising research directions.

Differential Algebras in Topology

ABSTRACT

TABLE OF CONTENTS

chapter 1|14 pages

Introduction and Mathematical Overview

chapter 2|12 pages

The DGL’s L[sup(k)] and L[sup(k)]

chapter 3|8 pages

The DGL M[sup(k)]

chapter 4|14 pages

The Bockstein Spectral Sequence for UM[sup(k)]

chapter 5|18 pages

The DGL N[sup(kl)]

chapter 6|30 pages

Three Topological Tools

chapter 7|30 pages

Coherent Sequences of Algebras

chapter 8|18 pages

Stable Homotopy Operations under a Space

chapter 9|10 pages

Statement of the Main Theorem

chapter 10|18 pages

Stable Homotopy Operations under D[sub(k)]

chapter 11|38 pages

Generals Theory of CSL’s

chapter 12|18 pages

Construction of β[sup(k)][sub(t)] and α [sup(k)][sub(t)]

chapter 13|24 pages

Completion of the Proof

chapter 14|10 pages

The Space T[sub(k)]

chapter 15|10 pages

The Limit Space D∞