**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

**Topology of Stratified Spaces**

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.

(

**7999**views)

**Geometry of 2D Topological Field Theories**

by

**Boris Dubrovin**-

**arXiv**

These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Topics: WDVV equations and Frobenius manifolds; Polynomial solutions of WDVV; Symmetries of WDVV; etc.

(

**12145**views)

**The Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres**

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.

(

**11032**views)

**An Elementary Illustrated Introduction to Simplicial Sets**

by

**Greg Friedman**-

**arXiv.org**

This is an introduction to simplicial sets and simplicial homotopy theory with a focus on the combinatorial aspects of the theory and their geometric/topological origins. Accessible to students familiar with the fundamentals of algebraic topology.

(

**7826**views)