**Topology Lecture Notes**

by Thomas Ward

**Publisher**: UEA 2001**Number of pages**: 88

**Description**:

Contents: Topological and Metric Spaces, Homotopy Exquivalence, Fundamental Groups, Covering Spaces and Applications, Classification of Surfaces, Simplicial Complexes and Homology Groups, Homology Calculations, Simplicial Approximation, Homological Algebra and the Exact Sequence of a Pair.

Download or read it online for free here:

**Download link**

(multiple formats)

## Similar books

**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.

(

**4781**views)

**Algebraic Topology**

by

**Allen Hatcher**-

**Cambridge University Press**

Introductory text suitable for use in a course or for self-study, it covers fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The geometric aspects of the subject are emphasized.

(

**28404**views)

**Introduction to Topological Groups**

by

**Dikran Dikranjan**-

**UCM**

These notes provide a brief introduction to topological groups with a special emphasis on Pontryaginvan Kampen's duality theorem for locally compact abelian groups. We give a completely self-contained elementary proof of the theorem.

(

**5499**views)

**Prerequisites in Algebraic Topology**

by

**Bjorn Ian Dundas**-

**NTNU**

This is not an introductory textbook in algebraic topology, these notes attempt to give an overview of the parts of algebraic topology, and in particular homotopy theory, which are needed in order to appreciate that side of motivic homotopy theory.

(

**5673**views)