Logo

Model Categories and Simplicial Methods

Small book cover: Model Categories and Simplicial Methods

Model Categories and Simplicial Methods
by

Publisher: Northwestern University
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.

Home page url

Download or read it online for free here:
Download link
(410KB, PDF)

Similar books

Book cover: Mixed MotivesMixed Motives
by - 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.
(9426 views)
Book cover: Categories and ModulesCategories and Modules
by - viXra.org
Modules and morphisms among them subsume categories and functors and provide more general framework to explore the theory of structures. In this book we generalize the basic notions and results of category theory using this framework of modules.
(3047 views)
Book cover: Dynamical Systems and SheavesDynamical Systems and Sheaves
by - arXiv
A categorical framework for modeling and analyzing systems in a broad sense is proposed. These systems should be thought of as 'machines' with inputs and outputs, carrying some sort of signal that occurs through some notion of time.
(1140 views)
Book cover: Category Theory for the SciencesCategory Theory for the Sciences
by - 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.
(1223 views)