Modern Algebraic Topology
by D. G. Bourgin
Publisher: Macmillan 1963
Number of pages: 544
Contents: Preliminary algebraic background; Chain relationships; Fundamentals of the absolute homology groups and basic examples; Relative omology modules; Manifolds and fixed cells; Omology exact sequences; Simplicial methods and inverse and direct limits; Gratings; Fundamental omology relations and applications; Homological algebra; Uniqueness proofs and fixed point indices; etc.
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by Paul Goerss - Northwestern University
Contents: The Adams spectral sequence; Classical calculations; The Adams-Novikov Spectral Sequence; Complex oriented homology theories; The height filtration; The chromatic decomposition; Change of rings; The Morava stabilizer group.
by Greg Friedman, et al. - Cambridge University Press
This book concerns the study of singular spaces using techniques of geometry and topology and interactions among them. The authors cover intersection homology, L2 cohomology and differential operators, the topology of algebraic varieties, etc.
by U. Bruzzo
Introduction to algebraic geometry for students with an education in theoretical physics, to help them to master the basic algebraic geometric tools necessary for algebraically integrable systems and the geometry of quantum field and string theory.
by Peter Saveliev - Intelligent Perception
Differential forms provide a modern view of calculus. They also give you a start with algebraic topology in the sense that one can extract topological information about a manifold from its space of differential forms. It is called cohomology.