Notes on the course Algebraic Topology
by Boris Botvinnik
Publisher: University of Oregon 2010
Number of pages: 181
Contents: Important examples of topological spaces; Constructions; Homotopy and homotopy equivalence; CW-complexes; CW-complexes and homotopy; Fundamental group; Covering spaces; Higher homotopy groups; Fiber bundles; Suspension Theorem and Whitehead product; Homotopy groups of CW-complexes; Homology groups: basic constructions; Homology groups of CW-complexes; Homology and homotopy groups; Homology with coefficients and cohomology groups; etc.
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by J. P. May - Springer
A paper devoted to the study of iterated loop spaces. Our goal is to develop a simple and coherent theory which encompasses most of the known results about such spaces. We begin with some history and a description of the desiderata of such a theory.
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This volume concerns spectra with enriched multiplicative structure. It is a truism that interesting cohomology theories are represented by ring spectra, the product on the spectrum giving rise to the cup products in the theory.
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Contents: Preliminary algebraic background; Chain relationships; The absolute homology groups and basic examples; Relative omology modules; Manifolds and fixed cells; Omology exact sequences; Simplicial methods and inverse and direct limits; etc.
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This paper is an introduction to the theory of model categories. The prerequisites needed for understanding this text are some familiarity with CW-complexes, chain complexes, and the basic terminology associated with categories.