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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.

8 votes

Never appeared forthcoming papers

The Igusa-Waldhausen paper (roughly) entitled, The expansion space model for $Q(X_+)$ which is supposed to give a very different proof of the splitting $A(X) = Q(X_+) \times \text{Wh}^{\text{diff}} …
12 votes

Why should I prefer bundles to (surjective) submersions?

You write: So, I'm wondering for some applications where I really need to use a bundle --- where some important fact is not true for general submersions (or, surjective submersions with connected fi …
John Klein's user avatar
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1 vote

(Co)homological characterization of homotopy pullbacks

Here are some comments in the form of an answer, which can be viewed as the Koszul dual to Tyler's approach via the Eilenberg-Moore spectral sequence. Firstly, in the special case when $D$ is a poin …
John Klein's user avatar
  • 18.5k
61 votes
2 answers
3k views

Thomason's "open letter" to the mathematical community

In 1989, Bob Thomason left his CNRS position in Orsay and moved to Paris VII. It was during this period that he composed his "Open Letter" to the mathematical community. The letter explained Thomason' …
John Klein's user avatar
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