J. F. Jardine
Published 2019-05-14Version 1
Component graphs $\Gamma_{0}(F)$ are defined for arrays of sets $F$. The path components of $\Gamma_{0}(F)$ are the stable components of the array $F$. The stable components for the system of Lesnick complexes $\{ L_{s,k}(X) \}$ for a finite data set $X$ decompose into layers, which are themselves path components of a graph. Combinatorial scoring functions are defined for layers and stable components.
Crossed modules as maps between connected components of topological groups
Tracking the variety of interleavings
A geometric interpretation of the homotopy groups of the cobordism category
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