**Geometric Topology: Localization, Periodicity and Galois Symmetry**

by Dennis Sullivan

**Publisher**: Springer 2005**ISBN/ASIN**: 140203511X**ISBN-13**: 9781402035111**Number of pages**: 296

**Description**:

In 1970, Sullivan circulated a set of notes introducing localization and completion of topological spaces to homotopy theory, and other important concepts that have had a major influence on the development of topology. The notes remain worth reading for the boldness of their ideas, the clear mastery of available structure they command, and the fresh picture they provide for geometric topology.

Download or read it online for free here:

**Download link**

(1.3MB, PDF)

## Similar books

**Algebraic and Geometric Surgery**

by

**Andrew Ranicki**-

**Oxford University Press**

Surgery theory is the standard method for the classification of high-dimensional manifolds, where high means 5 or more. This book aims to be an entry point to surgery theory for a reader who already has some background in topology.

(

**8785**views)

**Notes on String Topology**

by

**Ralph L. Cohen, Alexander A. Voronov**-

**arXiv**

This paper is an exposition of the new subject of String Topology. We present an introduction to this exciting new area, as well as a survey of some of the latest developments, and our views about future directions of research.

(

**8942**views)

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

by

**J. P. May**-

**Springer**

The theme of this book is infinite loop space theory and its multiplicative elaboration. The main goal is a complete analysis of the relationship between the classifying spaces of geometric topology and the infinite loop spaces of algebraic K-theory.

(

**10521**views)

**An Introduction to High Dimensional Knots**

by

**Eiji Ogasa**-

**arXiv**

This is an introductory article on high dimensional knots for the beginners. Is there a nontrivial high dimensional knot? We first answer this question. We explain local moves on high dimensional knots and the projections of high dimensional knots.

(

**5174**views)