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Differential Algebraic Topology

Differential Algebraic Topology

Differential Algebraic Topology

This book presents some basic concepts and results from algebraic topology. Topics covered includes: Smooth manifolds revisited, Stratifolds, Stratifolds with boundary: c-stratifolds, The Mayer-Vietoris sequence and homology groups of spheres, Brouwer’s fixed point theorem, separation and invariance of dimension, Integral homology and the mapping degree, A comparison theorem for homology theories and CW-complexes, Kunneth’s theorem, Singular cohomology and Poincare duality, Induced maps and the cohomology axioms, The Chern classes, Pontrjagin classes and applications to bordism, Constructions of stratifolds.

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s168 Pages
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