MTG5932—Homotopy Theory

A copy of the first day hand-out is available here and here (PDF).

Texts

• W. G. Dwyer, J. Spaliński, Homotopy theories and model categories. Handbook of algebraic topology, 73–126, North-Holland, Amsterdam, 1995. (Available from the first author’s web page).

• P. Goerss, K. Schemmerhorn, Model categories and simplicial methods. Contemp. Math. 436, AMS, 2007. arXiv:math/0609537

In addition, the following books are standard references. The FSU Library holds copies of all of them:

• D. Quillen, Homotopical Algebra. Lecture Notes in Mathematics, No. 43 Springer-Verlag, Berlin-New York 1967.
• P. Goerss, J. F. Jardine, Simplicial homotopy theory. Birkhäuser Verlag, 1999 (or 2009 paperback edition).
• P. S. Hirschhorn, Model categories and their localizations. Mathematical Surveys and Monographs, 99. American Mathematical Society, Providence, RI, 2003.
• M. Hovey, Model categories. Mathematical Surveys and Monographs, 63. American Mathematical Society, Providence, RI, 1999.

Notes

The scaffold files are here.