Approximate Triangulations of Grassmann Manifolds
Approximate Triangulations of Grassmann Manifolds
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Basel: MDPI AG
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English
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Basel: MDPI AG
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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 G k ( R n ) .
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Approximate Triangulations of Grassmann Manifolds
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TN_cdi_doaj_primary_oai_doaj_org_article_797b14be401541169dd0007dc0fe2eeb
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_797b14be401541169dd0007dc0fe2eeb
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ISSN
1999-4893
E-ISSN
1999-4893
DOI
10.3390/a13070172
