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A model category is a category equipped with notions of weak equivalences, fibrations and cofibrations allowing to run arguments similar to those of classical homotopy theory.

6 votes

Does the category of topological symmetric spectra satisfy the monoid axiom ?

I would look at Stefan Schwede's articles. I think the answer is yes, see page 7 of Schwede and Shipley: http://www.math.uni-bonn.de/people/schwede/AlgebrasModules.pdf Perhpas this more explicitly st …
Sean Tilson's user avatar
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2 votes
1 answer
328 views

Model categories and cellular maps

A question came up on MSE and it generated, for me, the following question: When looking at the maps of CW/cell/simplicial complexes do the cellular/simplicial maps have a model theoretic interpretati …
Sean Tilson's user avatar
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2 votes

Reference request - CDGA vs. sAlg in char. 0

You might be interested in the paper by Mike Mandell titled : Topological Andre-Quillen Cohomology and $E_{\infty}$ Andre-Quillen Cohomology. I am pretty sure his statements do not require a characte …
Sean Tilson's user avatar
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5 votes

A reference for Calculus of Functors for Model Categories

I haven't read it, but maybe this could be useful: http://arxiv.org/abs/math/0601221 Calculus of Functors and Model categories by Biedermann Chorny and Roendigs
Sean Tilson's user avatar
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