**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 for free here:

**Download link**

(410KB, PDF)

## Similar books

**Category Theory for the Sciences**

by

**David I. Spivak**-

**The MIT Press**

This book shows that category theory can be useful outside of mathematics as a flexible modeling language throughout the sciences. Written in an engaging and straightforward style, the book is rigorous but accessible to non-mathematicians.

(

**1751**views)

**Mixed Motives**

by

**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.

(

**9912**views)

**Higher Algebra**

by

**Jacob Lurie**-

**Harvard University**

Contents: Stable infinite-Categories; infinite-Operads; Algebras and Modules over infinte-Operads; Associative Algebras and Their Modules; Little Cubes and Factorizable Sheaves; Algebraic Structures on infinite-Categories; and more.

(

**10366**views)

**Notes on Categories and Groupoids**

by

**P. J. Higgins**-

**Van Nostrand Reinhold**

A self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment is by no means systematic.

(

**9948**views)