Persistent homotopy theory

26 Oct 2020 Jardine J. F.

Vietoris-Rips and degree Rips complexes are represented as homotopy types by their underlying posets of simplices, and basic homotopy stability theorems are recast in these terms. These homotopy types are viewed as systems (or functors), which are defined on a parameter space... (read more)

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  • ALGEBRAIC TOPOLOGY