Results 1 to 10 of about 31,061 (99)
Homology of homologous knotted proteins
Journal of The Royal Society Interface, 2023 Quantification and classification of protein structures, such as knotted proteins, often requires noise-free and complete data. Here, we develop a mathematical pipeline that systematically analyses protein structures. We showcase this geometric framework on proteins forming open-ended trefoil knots, and we demonstrate that the mathematical tool ...
Katherine Benjamin +6 more
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On galaxies and homology [PDF]
Monthly Notices of the Royal Astronomical Society, 2012 15 pages, 9 figures, 3 tables.
Joel R. Primack +7 more
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MacLane homology and topological Hochschild homology [PDF]
Journal of Pure and Applied Algebra, 1992 AbstractThe topological Hochschild homology of a discrete ring is shown to agree with the MacLane homology of that ring.
PIRASHVILI, T, WALDHAUSEN, F
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Homology stratifications and intersection homology [PDF]
Geometry & Topology Monographs, 1999 A homology stratification is a filtered space with local homology groups constant on strata. Despite being used by Goresky and MacPherson [Intersection homology theory: II, Inventiones Mathematicae, 71 (1983) 77-129] in their proof of topological invariance of intersection homology, homology stratifications do not appear to have been studied in any ...
Rourke, Colin, Sanderson, Brian
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THE HOMOLOGY OF DIGRAPHS AS A GENERALIZATION OF HOCHSCHILD HOMOLOGY [PDF]
Journal of Algebra and Its Applications, 2012 Przytycki has established a connection between the Hochschild homology of an algebra A and the chromatic graph homology of a polygon graph with coefficients in A. In general the chromatic graph homology is not defined in the case where the coefficient ring is a non-commutative algebra.
Turner Paul, Wagner Emmanuel
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Current Biology, 2004 What is the origin of the term ‘homology’? Richard Owen (1804–1892) defined homology as “the same organ under every variety of form and function”. Owen conceived of homologous structures as those that, while differing in detail, were derived from the same body plan, or ‘archetype’.
Webber, C, Ponting, C
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Magnitude homology and path homology
Bulletin of the London Mathematical Society, 2022 version 3 (refined some proofs, added some figures, and fixed some typos. To appear in Bulletin of the London Mathematical Society)
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Rabinowitz Floer homology and symplectic homology [PDF]
Annales scientifiques de l'École normale supérieure, 2010 59 pages, 8 ...
Cieliebak, Kai +2 more
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Homological scaffold via minimal homology bases [PDF]
Scientific Reports, 2021 AbstractThe homological scaffold leverages persistent homology to construct a topologically sound summary of a weighted network. However, its crucial dependency on the choice of representative cycles hinders the ability to trace back global features onto individual network components, unless one provides a principled way to make such a choice.
Guerra, Marco +4 more
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Homology operations on homology of quandles
Journal of Algebra, 2010 26 pages, 1 ...
Józef H. Przytycki +1 more
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