Search Results

my friend, I have an email! But I can offer the history. First, although the $E_{\infty}$ book was published in 1977, it is a shotgun marriage of a bunch of earlier preprints that were rejected for …

My apologies to everyone, and especially to Markus. He got me to get this scanned, and I sent him a copy; I also promised to put it on my web page, but I only just now did so: http://www.math.uchicag …

Sanath, you will be happy to learn that I do have these notes. I'll give them to you to copy after you arrive in Chicago Monday.

Working simplicially (in those days called "semi-simplicially") this is surely due to Moore, with details in unpublished 1956 lecture notes and in John C. Moore, Semi-simplicial complexes and Postniko …

The late Gaunce Lewis's 1978 PhD thesis ``The stable category and generalized Thom spectra'' proved (as a special case) that the Thom spectra of $F$ and its oriented version $SF$ (alias $GL_1(S)$ or $ …

There is a comprehensive set of calculations of the homology of classical groups over finite fields in Z. Fiedorowicz and S. Priddy. Homology of classical groups over finite fields and their associate …

Using the language of the two-sided bar construction, one can see the classifying map as follows. There is an evident natural zigzag of maps of principal $G$-bundles $$ P \longleftarrow B(P,G,G) \l …

Chris, that is not actually what we did. Personally, I find indexing simplicial sets by inner product spaces to be unnecessary and unhelpful, and I've not coauthored any paper with such a constructi …

ps: I really don't like ``if you really must ...''. There are serious advantages to working in a model category in which every object is fibrant, and, related to that, both for theory and computatio …

Oh, come on! Prop. 17.4, p. 69, of my ancient but still current book ``Simplicial objects in algebraic topology'' proves that the homology groups of the Moore complex of a simplicial group $G$ are t …

Since G is finite, there is no problem with just repeating the proof in the case $G=e$, using $Z$-graded homotopy group functors on the orbit category. Take $D^{\leq n}$ to be the spectra whose homot …

By naturality and the external Cartan formula, the standard polynomial generators of $H^*(K(\mathbf{Z}/2,k);\mathbf{Z}/2)$ given by iterated Steenrod operations on the fundamental class are primitive. …

Here is a fact that should be much more widely known than it is. The category of posets is isomorphic (not just equivalent) to the category of $T_0$ Alexandrof spaces. A topological space is said to …

There are several different, provably equivalent, definitions. Construction 10 in http://www.math.uchicago.edu/~may/PAPERS/23.pdf is one example. It is used to prove the uniqueness of a machine takin …

Since Denis gave the right reference, namely http://www.math.uchicago.edu/~may/BOOKS/equi.pdf, I did not follow up and answer this question. We can work with any compact Lie group and any complete un …