A First Course in Algebraic Topology

B. K. Lahiri

140 pages, parution le 30/01/2006 (2^eme édition)

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Résumé

A First Course in Algebraic Topology starts with the basic notions of category, functors and homotopy of continuous mappings including relative homotopy. Fundamental groups of circles and torus have been treated along with the fundamental group of covering spaces. Simplexes and complexes are presented in detail and two homology theories-simplicial homology and singular homology have been considered along with calculations of some homology groups.

New to the Second Edition

Chapter on: Simplicial Cohomology groups indicating how the duality between homology and cohomology groups acts

Key Features

New Definitions followed by suitable illustrations
Proofs of theorems easily accessible to the readers
Sufficient numbers of examples to facilitate clear understanding of the concepts

Sommaire

Symbols and Notations
Basic Concepts
Category and Functors
Homotopy
Homotopy Type and Retractions
Paths
The Fundamental Group
Fundamental Group of the Circles
Covering Spaces
Fibrations
Geometric Simplexes and Complexes
Simplicial Homology Theory
Singular Homology
Simplicial Cohomology Groups
References

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Alpha
Auteur(s)	B. K. Lahiri
Parution	30/01/2006
Édition	2^eme édition
Nb. de pages	140
Format	16 x 24,5
Couverture	Relié
Poids	415g
Intérieur	Noir et Blanc
EAN13	9781842652268
ISBN13	978-1-84265-226-8