Search Results

This is probably belaboring the obvious, but just take seriously the equivalence between grouplike $E_{\infty}$ spaces and connective spectra. See for example Equivalence between $E_\infty$-spaces …

My colleague Dylan answered first (I keep telling him not to spend too much time on this toy :) but I both agree and disagree with his "Yes of course". The same words are used with different meanings …

For the questions asked here, there is no difference between orthogonal $G$-spectra, symmetric $G$-spectra of either $G$-spaces or $G$-sSets, or EKMM $G$-spectra. For the first two, the nonequivaria …

I suppose I should try to answer since the question of whether or not $BP$ is an $E_{\infty}$ ring spectrum was Problem 1 of "Problems in infinite loop space theory'', http://www.math.uchicago.edu/~ma …

I just noticed this question, so my apologies for a very belated answer. Proposition 20.5.5 of http://www.math.uchicago.edu/~may/EXTHEORY/MaySig.pdf states that a $k$-orientation of a spherical fibra …

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 …

A. The brackets are the same computed in any model, as you say, and for most that entails fibrant approximation. For genuine $G$-spectra (complete universe), $G$ a compact Lie group, it goes back …

I have nothing non-trivial and non-digressive to say, but it might help to point out in an elementary way some things that may be relevant. One way to think about things is that there are distinction …

You can find an elementary categorical comparison of different contexts of the sort you ask about in a paper by Halvard Fausk, Po Hu, and myself, entitled ``Isomorphisms between left and right adjoint …

I like Lennart's comment so, Drew, I won't try to say much more. Stability in the first sense was certainly well understood by the very early 1950's, and it would be hard to be certain of a ``first'' …

I don't think I noticed this question before. One point is that now that we have multiplicatively well-behaved Quillen equivalences between all reasonable models for the stable category, hence betwe …

Let's be precise about the question! I claim it is not meaningful until you choose basepoints in X and Y and restrict to based maps, since otherwise the suspension used to define the stable homotopy …

In 2002, Paul Balmer wrote a nice two page note answering the same question. He sent it to me because I had asked the same question in my paper ``The additivity of traces in triangulated categories'' …

I didn't want to answer this because the question seemed too elementary to spend time on. But to see quasicategories invoked for something so classically elementary is truly painful. (Forgive me Dyl …

This is an excellent question that I have thought a lot about. I'd rather answer it in a more general context that was motivated by what I knew to be true in the stable homotopy category. The referen …