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Feb
5
awarded  Nice Answer
Feb
5
revised Intuition/idea behind a proof of the splitting principle?
added 5 characters in body
Feb
5
answered Intuition/idea behind a proof of the splitting principle?
Feb
4
awarded  Nice Answer
Feb
2
answered Definition of E-infinity operad
Jan
9
answered Spectra as functors from Spaces to Spaces
Dec
24
answered Singular analog of cellular homology
Dec
4
awarded  Yearling
Nov
29
awarded  Nice Answer
Nov
28
comment Cotensor vs exponential objects.
I rarely deal with abelian categories. I'm thinking for example of self-dual objects in symmetric monoidal categories, such as orbit $G$-spectra for a finite group $G$. Fausk, Hu, and I wrote a general categorical study of situations where left and right adjoints are isomorphic: math.uchicago.edu/~may/PAPERS/FormalFinalMarch.pdf
Nov
27
comment Bockstein cohomology
This is the $E_1$ term of the standard cohomology Beckstein spectral sequence. Many sources. Nearest one to my hand is page 481 in math.uchicago.edu/~may/TEAK/KateBookFinal.pdf
Nov
18
comment classifying space of orthogonal groups
Details: a spectrum does not have an ``underlying space'', but it does have a zeroth space, which is an infinite loop space, and the zeroth space of the spectrum representing real K-theory is BO \times Z, not BO; otherwise the answer is on the mark.
Nov
14
revised Equivariant classifying spaces from classifying spaces
Clarification of context
Nov
7
awarded  Great Answer
Nov
2
comment In CGWH, is every cofibration an inclusion with closed image?
Ok, Kevin, you have done this problem very thoroughly! For others, the question is problem 1, page 46, of Concise, and I assigned it as homework just two weeks ago. Kevin is in my class :)
Oct
23
awarded  Nice Answer
Oct
4
awarded  Enlightened
Oct
4
awarded  Nice Answer
Oct
3
comment Does every (co)homology functor (in particular, stable homotopy) factor through chain complexes?
There is a long ago published paper to the effect that the only homology theories computable by chain complexes are products of ordinary homology theories, and there is a follow up paper (or two?) by a different author that gives a modified notion of chain complex for which there are more theories, but I can't remember authors or dates. For sure these papers exist though!
Sep
22
revised Are $E_n$-operads not formal in characteristic not equal to zero?
edited body