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Topics in Topology and Homotopy Theory
(Hopf Topology Archive, 2005-01)
This book is addressed to those readers who have been through Rotman (or its equivalent), possess a wellthumbed copy of Spanier, and have a good background in algebra and general topology. Granted these prerequisites, my intention is to provide at the core a state of the art treatment of the homotopical foundations of ...
Homotopical Topos Theory
The purpose of this book is two-fold: (1) To give a systematic introduction to topos theory from a purely categorical point of view, thus ignoring all logical and algebraic issues. (2) To give an account of the homotopy theory of the simplicial objects in a Grothendieck topos.