Model Categories and Simplicial Methods
by Paul Goerss, Kristen Schemmerhorn
Publisher: Northwestern University 2004
Number of pages: 46
Description:
There are many ways to present model categories, each with a different point of view. Here we'd like to treat model categories as a way to build and control resolutions. We're going to emphasize the analog of projective resolutions, simply because these are the sort of resolutions most people see first.
Download or read it online here:
Download link
(410KB, PDF)
Similar books
Mixed Motivesby Marc Levine - American Mathematical Society
This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for understanding the work is a basic background in algebraic geometry.
(8756 views)
Category Theory- Wikibooks
This book is an introduction to category theory, written for those who have some understanding of one or more branches of abstract mathematics, such as group theory, analysis or topology. It contains examples drawn from various branches of math.
(6072 views)
A Gentle Introduction to Category Theory: the calculational approachby Maarten M. Fokkinga
These notes present the important notions from category theory. The intention is to provide a fairly good skill in manipulating with those concepts formally. This text introduces category theory in the calculational style of the proofs.
(11990 views)
Category Theory for Scientistsby David I. Spivak - arXiv
We attempt to show that category theory can be applied throughout the sciences as a framework for modeling phenomena and communicating results. In order to target the scientific audience, this book is example-based rather than proof-based.
(4200 views)