Algebraic Topology : Constructions, Retractions, and Fixed Point Theory / Smail Djebali.

Format:

Book

Author/Creator:

Djebali, Smaïl, author.

Series:

De Gruyter textbook.

De Gruyter Textbook Series

Language:

English

Subjects (All):

Algebraic topology.

Physical Description:

1 online resource (418 pages)

Edition:

First edition.

Place of Publication:

Berlin, Germany : Walter de Gruyter, [2025]

Summary:

The aim of the textbook is two-fold: first to serve as an introductory graduate course in Algebraic Topology and then to provide an application-oriented presentation of some fundamental concepts in Algebraic Topology to the fixed point theory.

Contents:

Intro

Introduction

Contents

Notation and symbols

List of Figures

1 Background in topology

2 Quotient topology

3 Topological constructions

4 The fundamental group

5 Covering maps and lifting maps

6 Fundamental groups of the circle and the sphere

7 Borsuk's theory of retracts

8 Fundamental groups of some surfaces

9 Higher homotopy groups

10 Elements of homology theory

11 Fixed-point theorems

12 Applications

Appendices

Subject Index

Author Index

Bibliography.

Notes:

Includes bibliographical references and index.

Description based on publisher supplied metadata and other sources.

Description based on print version record.

ISBN:

3-11-151738-1

OCLC:

1463770160