15,472 reputation
14675
bio website math.uchicago.edu/~may
location US
age 74
visits member for 3 years, 7 months
seen yesterday
At the University of Chicago since 1967. Mainly known as an algebraic topologist.

Jul
12
comment Why localize spaces with respect to homology?
``What we really care about?" Mike, that depends on whether or not one is interested in applications and calculations.
Jul
10
comment Why localize spaces with respect to homology?
Also, I would like to emphasize Craig's point. It is not that things are simpler but that there are new phenomena invisible before localization. Adams already was well aware of this. He implicitly proved that localizations of spheres at odd primes are H-spaces in a 1960 paper, and by the time of the notes he of course understood the role of localization in that statement.
Jul
10
comment Why localize spaces with respect to homology?
Not from the text of the notes, but Frank was then visiting me at Chicago, and I can attest that not so far back in his mind was thinking about periodic localizations and periodicity phenomena in the stable homotopy groups of spheres, which he had been thinking about since 1960 or so.
Jul
8
awarded  Nice Answer
Jul
8
comment Why localize spaces with respect to homology?
Thanks Vidit. Teach me privately how to do that, please.
Jul
8
answered Why localize spaces with respect to homology?
Jul
4
awarded  Nice Answer
Jun
8
answered What (if anything) unifies stable homotopy theory and Grothendieck's six functors formalism?
May
31
comment Finite complexes whose homotopy groups are not “finitely generated”
Mark, why do you believe the generating hypothesis is true
May
9
awarded  stable-homotopy
May
9
answered When was the word “stable” first used to describe stable homotopy theory?
May
1
comment Second Quadrant Spectral Sequence
Take a look at Boardman's article ``Conditionally convergent spectral sequences''.
Apr
29
answered Where is simpleness used in the proof of existence of Postnikov towers of principal fibrations?
Apr
26
comment “abstract” description of geometric fixed points functor
I answered in an edit.
Apr
26
revised “abstract” description of geometric fixed points functor
More math
Apr
25
answered “abstract” description of geometric fixed points functor
Apr
22
comment Stable homotopy of spheres non-locally
Greenlees and I discovered some tantalizing and still unexplored indications of such connections using topological Amitsur-Dress-Tate cohomology in our Memoir ``Generalized Tate cohomology. See Examples 24.17 there.
Apr
16
awarded  Enlightened
Apr
7
awarded  Necromancer
Apr
7
answered Infinite loop of a p-completed specta vs p-completion of infinite loop of the spectra