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math.DS2026
From Nilspace Theory to Simplicial Homotopy Theory
Noa Bihlmaier, Nick Ruoff
We construct a faithful functor from the category of cubespaces, arising in structured ergodic theory and nilspace theory, to the category of (condensed) simplicial sets. This func…
math.DS2026
A Categorical Approach to Nilspace Theory
Noa Bihlmaier, Nick Ruoff
Originating in ergodic structure theory, nilspace theory is concerned with the study of cubical spaces. A first key result in this theory, the weak structure theorem, is the repres…