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math.AT2026
Shape theory for condensed anima
Catrin Mair
We give different perspectives on the notion of shape for condensed anima. We prove that it recovers more classical notions of shape for topological spaces in the cases of all para…
math.AT2021
Animated Condensed Sets and Their Homotopy Groups
Catrin Mair
The theory of condensed mathematics by Dustin Clausen and Peter Scholze claims that topological spaces should be replaced by the definition of condensed sets. The main purpose of t…