Differential Algebraic Topology by Matthias Kreck
File Type :PDF Number of Pages :168
Description This book presents some basic
concepts and results from algebraic topology. Topics covered includes: Smooth
manifolds revisited, Stratifolds, Stratifolds with boundary: cstratifolds,
The MayerVietoris 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 CWcomplexes,
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.
