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12
votes
Accepted
Cohesion relative to a pyknotic/condensed base
Let me try to cut through the jargon. One thing that confuses me are two uses of "tangent spaces" here, that I believe are quite unrelated. One is the usual notion of tangent spaces of smooth manifold …
10
votes
Reflection principle vs universes
A question that came up in the comments was about the motivation for asking the question. Let me try to address this here.
Foremost, it is about learning! As I mentioned in the original question, I ha …
18
votes
Reflection principle vs universes
OK, I spent much of today trying to figure this out by actually looking in some detail at HTT. It's been quite a ride; I have definitely changed my perspective multiple times in the process. Currently …
97
votes
10
answers
15k
views
Reflection principle vs universes
In category-theoretic discussions, there is often the temptation to look at the category of all abelian groups, or of all categories, etc., which quickly leads to the usual set-theoretic problems. The …