Differential Algebraic Topology

Overview & Synopsis

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.