NDLI: Approximate Triangulations of Grassmann Manifolds

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Approximate Triangulations of Grassmann Manifolds

Content Provider	MDPI
Author	Knudson, Kevin P.
Copyright Year	2020
Description	We define the notion of an approximate triangulation for a manifold M embedded in Euclidean space. The basic idea is to build a nested family of simplicial complexes whose vertices lie in M and use persistent homology to find a complex in the family whose homology agrees with that of M. Our key examples are various Grassmann manifolds $Gk(Rn)$ .
Starting Page	172
e-ISSN	19994893
DOI	10.3390/a13070172
Journal	Algorithms
Issue Number	7
Volume Number	13
Language	English
Publisher	MDPI
Publisher Date	2020-07-17
Access Restriction	Open
Subject Keyword	Algorithms Logic Grassmannian Persistent Homology Vietoris–rips Complex Witness Complex Triangulation
Content Type	Text
Resource Type	Article

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