Overview

Great first book on algebraic topology. Introduces (co)homology through singular theory.

Full Product Details

Author:   Marvin J. Greenberg ,  John R. Harper
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Weight:   0.771kg
ISBN:  

9780367091880

ISBN 10:   0367091887
Pages:   332
Publication Date:   13 June 2019
Audience:   College/higher education ,  General/trade ,  Tertiary & Higher Education ,  General
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface , Elementary Homotopy Theory , Introduction to Part I , Arrangement of Part I , Homotopy of Paths , Homotopy of Maps , Fundamental Group of the Circle , Covering Spaces , A Lifting Criterion , Loop Spaces and Higher Homotopy Groups , Singular Homology Theory , Introduction to Part II , Affine Preliminaries , Singular Theory , Chain Complexes , Homotopy Invariance of Homology , Relation Between π 1 and H 1 , Relative Homology , The Exact Homology Sequence , The Excision Theorem , Further Applications to Spheres , Mayer-Vietoris Sequence , The Jordan-Brouwer Separation Theorem , Construction of Spaces: Spherical Complexes , Betti Numbers and Euler Characteristic , Construction of Spaces: Cell Complexes and more Adjunction Spaces , Orientation and Duality on Manifolds , Introduction to Part III , Orientation of Manifolds , Singular Cohomology , Cup and Cap Products , Algebraic Limits , Poincaré Duality , Alexander Duality , Lefschetz Duality , Products and Lefschetz Fixed Point Theorem , Introduction to Part IV , Products , Thom Class and Lefschetz Fixed Point Theorem , Intersection numbers and cup products. , Table of Symbols

Reviews

Author Information

Marvin J Greenberg

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions