**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

**Introduction to Categories and Categorical Logic**

by

**Samson Abramsky, Nikos Tzevelekos**-

**arXiv**

These notes provide a succinct, accessible introduction to some of the basic ideas of category theory and categorical logic. The main prerequisite is a basic familiarity with the elements of discrete mathematics: sets, relations and functions.

(

**10527**views)

**Higher-Dimensional Categories: an illustrated guide book**

by

**Eugenia Cheng, Aaron Lauda**-

**University of Sheffield**

This work gives an explanatory introduction to various definitions of higher-dimensional category. The emphasis is on ideas rather than formalities; the aim is to shed light on the formalities by emphasizing the intuitions that lead there.

(

**11153**views)

**Basic Category Theory**

by

**Jaap van Oosten**-

**University of Utrecht**

Contents: Categories and Functors; Natural transformations; (Co)cones and (Co)limits; A little piece of categorical logic; Adjunctions; Monads and Algebras; Cartesian closed categories and the lambda-calculus; Recursive Domain Equations.

(

**10241**views)

**Category Theory Lecture Notes**

by

**Michael Barr, Charles Wells**

Categories originally arose in mathematics out of the need of a formalism to describe the passage from one type of mathematical structure to another. These notes form a short summary of some major topics in category theory.

(

**9884**views)