**A Primer on Homotopy Colimits**

by Daniel Dugger

**Publisher**: University of Oregon 2008**Number of pages**: 72

**Description**:

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.

Download or read it online for free here:

**Download link**

(560KB, PDF)

## Similar books

**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.

(

**7432**views)

**The Classification Theorem for Compact Surfaces**

by

**Jean Gallier, Dianna Xu**

In this book the authors present the technical tools needed for proving rigorously the classification theorem, give a detailed proof using these tools, and also discuss the history of the theorem and its various proofs.

(

**9962**views)

**A Concise Course in Algebraic Topology**

by

**J. P. May**-

**University Of Chicago Press**

This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics. Most chapters end with problems that further explore and refine the concepts presented.

(

**13358**views)

**A Topology Primer**

by

**Klaus Wirthmüller**-

**Technische Universität Kaiserslautern**

The purpose of this text is to make familiar with the basics of topology, to give a concise introduction to homotopy, and to make students familiar with homology. Readers are expected to have knowledge of analysis and linear algebra.

(

**7646**views)