**An Elementary Illustrated Introduction to Simplicial Sets**

by Greg Friedman

**Publisher**: arXiv.org 2016**Number of pages**: 58

**Description**:

This is an expository introduction to simplicial sets and simplicial homotopy theory with particular focus on relating the combinatorial aspects of the theory to their geometric/topological origins. It is intended to be accessible to students familiar with just the fundamentals of algebraic topology.

Download or read it online for free here:

**Download link**

(3.1MB, PDF)

## Similar books

**Equivariant Stable Homotopy Theory**

by

**G. Jr. Lewis, J. P. May, M. Steinberger, J. E. McClure**-

**Springer**

Our purpose is to establish the foundations of equivariant stable homotopy theory. We shall construct a stable homotopy category of G-spectra,and use it to study equivariant duality, equivariant transfer, the Burnside ring, and related topics.

(

**12562**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.

(

**35324**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.

(

**8211**views)

**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.

(

**7492**views)