A guide to the classification theorem for compact surfaces Jean Gallier, Dianna Xu

Format:

Book

Author/Creator:

Gallier, Jean H.

Contributor:

Xu, Dianna

Series:

Geometry and computing

Geometry and Computing v. 9

Language:

English

Subjects (All):

Topological algebras.

Mathematics.

mathematics.

applied mathematics.

Medical Subjects:

Mathematics.

Physical Description:

1 online resource

Place of Publication:

Berlin Springer 2013

Language Note:

English

System Details:

text file

PDF

Summary:

This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, student-centred approach details a near-complete proof of this theorem, widely admired for its efficacy and formal beauty. The authors present the technical tools needed to deploy the method effectively as well as demonstrating their use in a clearly structured, worked example

Contents:

The Classification Theorem: Informal Presentation Surfaces Simplices, Complexes, and Triangulations The Fundamental Group, Orientability Homology Groups The Classification Theorem for Compact Surfaces

The Classification Theorem: Informal Presentation

Surfaces

Simplices, Complexes, and Triangulations

The Fundamental Group

Homology Groups

The Classification Theorem for Compact Surfaces

Notes:

Includes bibliographical references and index

Print version record

Other Format:

Print version Gallier, Jean. A Guide to the Classification Theorem for Compact Surfaces

ISBN:

9783642343643

3642343643

3642343635

9783642343636

9783642437106

3642437109

9783642343650

3642343651

OCLC:

827212402

Access Restriction:

Restricted for use by site license