**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.

(

**6602**views)

**Basic Category Theory**

by

**Tom Leinster**-

**arXiv**

This introduction to category theory is for readers with relatively little mathematical background. At its heart is the concept of a universal property, important throughout mathematics. For each new concept a generous supply of examples is provided.

(

**1503**views)

**Combinatorics and Algebra of Tensor Calculus**

by

**Sen Hu, Xuexing Lu, Yu Ye**-

**arXiv**

In this paper, we reveal the combinatorial nature of tensor calculus for strict tensor categories and show that there exists a monad which is described by the coarse-graining of graphs and characterizes the algebraic nature of tensor calculus.

(

**1763**views)

**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.

(

**999**views)