**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

**Introduction to Characteritic Classes and Index Theory**

by

**Jean-Pierre Schneiders**-

**Universidade de Lisboa**

This text deals with characteristic classes of real and complex vector bundles and Hirzebruch-Riemann-Roch formula. We will present a few basic but fundamental facts which should help the reader to gain a good idea of the mathematics involved.

(

**5259**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.

(

**28965**views)

**A Primer on Homotopy Colimits**

by

**Daniel Dugger**-

**University of Oregon**

This is an expository paper on homotopy colimits and homotopy limits. These are constructions which should arguably be in the toolkit of every modern algebraic topologist. Many proofs are avoided, or perhaps just sketched.

(

**4939**views)

**Lecture Notes on Motivic Cohomology**

by

**Carlo Mazza, Vladimir Voevodsky, Charles Weibel**-

**AMS**

This book provides an account of the triangulated theory of motives. Its purpose is to introduce Motivic Cohomology, to develop its main properties, and finally to relate it to other known invariants of algebraic varieties and rings.

(

**5073**views)