Mod Two Homology and Cohomology

• Main Author: Hausmann, Jean-Claude (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Universitext,
• Subjects: Mathematics.; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Algebraic Topology.; Manifolds and Cell Complexes (incl. Diff.Topology).

Cohomology and homology modulo 2 helps the reader grasp more readily the basics of a major tool in algebraic topology. Compared to a more general approach to (co)homology this refreshing approach has many pedagogical advantages: It leads more quickly to the essentials of the subject, An absence of s...

Table of Contents:

• Introduction
• Simplicial (co)homology
• Singular and cellular (co)homologies
• Products
• Poincar´e Duality
• Projective spaces
• Equivariant cohomology
• Steenrod squares
• Stiefel-Whitney classes
• Miscellaneous applications and developments
• Hints and answers for some exercises.