A STRUCTURAL INTRODUCTION TO ALGEBRAIC TOPOLOGY: A REFERENCE BOOK - Couverture rigide

Grandis, Marco

Couverture rigide

ISBN 10 : 9819830443 ISBN 13 : 9789819830442

Editeur : World Scientific Publishing Co Pte Ltd, 2026

Synopsis

The main subject of this book is singular homology, the simplest instrument of algebraic topology. In studying this theory and its applications, the book also investigates parts of other disciplines that form its underlying structural layout: homological algebra, homotopy theory, and category theory. The cohomology theories of Alexander–Spanier, Čech, and de Rham are also presented.

This book is an introduction to a complex domain, with references to its advanced parts and ramifications. It is written with minimal prerequisites — basic general topology and little else — and a moderate progression, starting with a very elementary beginning.

A consistent part of the exposition is organised in the form of exercises, with suitable hints and solutions. The book can be used as a textbook for a first course in algebraic topology or for self-study, and also as a reference book for further study.

It is based on a previous version, which has been entirely reviewed, adding several presentations of advanced subjects, and exploring more deeply the interplay of homology and homotopy.

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2026
• Langue: anglais
• ISBN 10: 9819830443
• ISBN 13: 9789819830442
• Reliure: Relié
• Nombre de pages: 458
• Coordonnées du fabricant: non disponible
• Personne responsable: gpsr@libri.de; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Allemagne