17,245 reputation
15282
bio website math.uchicago.edu/~may
location US
age 75
visits member for 4 years, 3 months
seen Mar 24 at 22:50
At the University of Chicago since 1967. Mainly known as an algebraic topologist.

Mar
17
comment How much of homotopy theory can be done using only finite topological spaces?
Whoops. Thanks Lennart. I didn't know Raptis's paper and I think it is the same model structure. So here is something new. For a discrete group G, the category of G-posets has a model structure Quillen equivalent to the standard model structure on G-spaces or G-simplicial sets.
Feb
1
comment How much of homotopy theory can be done using only finite topological spaces?
Since I wrote that answer, Inna Zakharevich and I have defined a model structure on the category of posets and proved that it is Quillen equivalent to the standard model structure on spaces or simplicial sets. Thus in principle one can do all of algebraic topology with posets.
Jan
4
awarded  Enlightened
Jan
4
awarded  Guru
Dec
6
answered $E_n$-space and n-connected pointed space
Dec
4
awarded  Yearling
Nov
25
answered Is an A-infinity thing the same the same as strict thing viewed through a homotopy equivalence?
Nov
8
comment Why higher category theory?
Lennart, Not the place for a debate (think of the poor guy who asked the question), but see Remark 3.2.2 in that paper: if I'm reading it right, it tells you how to do that. See you in February.
Nov
6
awarded  Good Answer
Nov
3
revised Why higher category theory?
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Nov
3
comment Why higher category theory?
David, I apologize: I misstated the title (now corrected). It is Towards Higher Categories. Volume 152 of The IMA Volumes in Mathematics and its Applications, published by Springer. It is edited by John Baez and myself.
Nov
3
comment Why higher category theory?
Agreed, but if I understand the details (and I may not) it didn't have to: authors may very well like the language and prefer to use it whether or not it is actually necessary. Sometimes it may be convenient and may shorten things, other times it may be essential, but other times it may not really be helping. Certainly there are other recent papers I could name where it is not really helping and where sharper point-set level results can be obtained with no more work.
Nov
3
comment Why higher category theory?
Well, you are clearly not looking at serious computations :)
Nov
3
awarded  Nice Answer
Nov
3
revised Is there an analog of the Barratt-Eccles construction for group-like E_∞-spaces and E_∞-ring spaces?
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Nov
2
revised $E_{\infty}$ spaces are $A_{\infty}$ spaces
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Nov
2
revised Why higher category theory?
added 174 characters in body
Nov
2
answered Why higher category theory?
Nov
2
answered $E_{\infty}$ spaces are $A_{\infty}$ spaces
Oct
6
comment Classifying space for fibrations with Eilenberg-MacLane space as fibers
Qiaochu, bundles in fact, not just fibrations, since K(A,n+1) is the classifying space of the topological abelian group K(A,n). (See e.g. my Classifying Spaces and Fibrations.)