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Sep 30, 2021 at 21:48 comment added varkor Theorems 13.8 and 13.8* are assuming limit preservation, rather than proving it. In fact, he says that he's proving two functors are adjoint. I don't see that he explicitly proves that right adjoints preserve limits.
Mar 30, 2021 at 23:56 history edited Dmitri Pavlov CC BY-SA 4.0
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Mar 30, 2021 at 23:37 comment added Yemon Choi @DmitriPavlov I saw that, so we are just interpreting or allocating dates in different ways:) For me, the year of a paper is the year of its publication. (I am happy to say "this is a theorem of Kan from 1956".) As for publishing, I note once again that unlike most very online mathematicians I am at heart a (copy-)editor not a programmer.
Mar 30, 2021 at 21:47 comment added Dmitri Pavlov @YemonChoi: The paper states on the first page that it was received by the editors on September 20, 1956, so it is indeed a 1956 paper. That it took 2 years for the AMS to print it is AMS's problem, not Kan's. On the other hand, after 65 years, the backlog at AMS journals is even worse now, despite all the improvements in technology.
Mar 30, 2021 at 16:15 comment added Yemon Choi The specific references you give are very helpful/useful for those of us interested in the historical record. Small quibble: your answer currently says 1956 but it seems the paper is from 1958.
Mar 29, 2021 at 16:23 comment added Dmitri Pavlov @MikeShulman: This is observed explicitly in Chapter III, I added a reference.
Mar 29, 2021 at 16:23 history edited Dmitri Pavlov CC BY-SA 4.0
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Mar 29, 2021 at 16:13 history edited Dmitri Pavlov CC BY-SA 4.0
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Mar 29, 2021 at 16:08 comment added Mike Shulman The implication seems immediate to us now. But did Kan observe it then?
Mar 29, 2021 at 15:41 history answered Dmitri Pavlov CC BY-SA 4.0