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Persistent Homology of Filtered Covers
persistent homology nerve lemma topological data analysis
2012/2/29
We prove an extension to the simplicial Nerve Lemma which establishes isomorphism of persistent homology groups, in the case where the covering spaces are filtered. While persistent homology is now wi...
Filtered Lie conformal algebras whose associated graded algebras are isomorphic to that of general conformal algebra $gc_1$
Lie conformal algebras filtered algebras general conformal algebras second cohomology groups
2011/8/25
Abstract: Let $G$ be a filtered Lie conformal algebra whose associated graded conformal algebra is isomorphic to that of general conformal algebra $gc_1$. In this paper, we prove that $G\cong gc_1$ or...
The Eulerian description of an incompressible viscous uid of constant density and temperature is concerned with the uid velocity u(x; t) and pressurep(x; t) recorded at xed positions x 2 Rn, n = 3 as...