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Timeline for Homotopy of functors

Current License: CC BY-SA 4.0

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Jan 2, 2020 at 5:07 comment added Peter May The analogy with topology is too close for this to be anything but canonical. I have nothing against Ronnie's choice, but it is not in common use. The most recent paper about Thomason's theorem and its generalizations is available on my web page as math.uchicago.edu/~may/PAPERS/MSZ.pdf, which gives background and references. No apologies needed. A good opportunity to advertise a classical observation that still seems much less well-known than it should be.
Jan 2, 2020 at 0:21 comment added user147820 Also apologies if the question is too elementary for mathoverflow; what references would you recommend for understanding Thomason's result?
Jan 2, 2020 at 0:20 comment added user147820 Peter thank you so much for the answer; is this the canonical choice then? (And in particular also why favor this formulation over Brown's condition of natural equivalence between the two functors? Despite being stricter that condition also seems flexible enough to preserve homotopy in quite a few desirable situations, as listed above.)
Jan 2, 2020 at 0:13 vote accept CommunityBot
Jan 1, 2020 at 21:28 history answered Peter May CC BY-SA 4.0