Logo

Homotopy Theories and Model Categories

Small book cover: Homotopy Theories and Model Categories

Homotopy Theories and Model Categories
by

Publisher: University of Notre Dame
Number of pages: 56

Description:
This paper is an introduction to the theory of model categories, which was developed by Quillen. We have tried to minimize the prerequisites needed for understanding this paper; it should be enough to have some familiarity with CW-complexes, with chain complexes, and with the basic terminology associated with categories.

Download or read it online for free here:
Download link
(420KB, PDF)

Similar books

Book cover: Polynomials and the Steenrod AlgebraPolynomials and the Steenrod Algebra
by - University of Manchester
This book investigates the Steenrod algebra A2 over the field of two elements F2 in a purely algebraic context by its action on the polynomial algebra P(n) in n variables over F2. The reader is expected to have a basic knowledge of algebra.
(5275 views)
Book cover: A Concise Course in Algebraic TopologyA Concise Course in Algebraic Topology
by - University Of Chicago Press
This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics. Most chapters end with problems that further explore and refine the concepts presented.
(13047 views)
Book cover: Geometry of 2D Topological Field TheoriesGeometry of 2D Topological Field Theories
by - arXiv
These lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Topics: WDVV equations and Frobenius manifolds; Polynomial solutions of WDVV; Symmetries of WDVV; etc.
(7154 views)
Book cover: An Elementary Illustrated Introduction to Simplicial SetsAn Elementary Illustrated Introduction to Simplicial Sets
by - arXiv.org
This is an introduction to simplicial sets and simplicial homotopy theory with a focus on the combinatorial aspects of the theory and their geometric/topological origins. Accessible to students familiar with the fundamentals of algebraic topology.
(3314 views)