**Notes on the course Algebraic Topology**

by Boris Botvinnik

**Publisher**: University of Oregon 2010**Number of pages**: 181

**Description**:

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.

Download or read it online for free here:

**Download link**

(1.5MB, PDF)

## Similar books

**The Geometry of Iterated Loop Spaces**

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.

(

**7949**views)

**H Ring Spectra and Their Applications**

by

**R. R. Bruner, J. P. May, J. E. McClure, M. Steinberger**-

**Springer**

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.

(

**6998**views)

**Modern Algebraic Topology**

by

**D. G. Bourgin**-

**Macmillan**

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.

(

**4632**views)

**Homotopy Theories and Model Categories**

by

**W. G. Dwyer, J. Spalinski**-

**University of Notre Dame**

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.

(

**6869**views)