Homology of Deleted Product Spaces.
C.W. Patty (1971)
Mathematica Scandinavica
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C.W. Patty (1971)
Mathematica Scandinavica
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Jean-Luis Cathelineau (1990)
Mathematica Scandinavica
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Guillermo Cortinas (1993)
Mathematica Scandinavica
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C., Sletsjoe, Arne B. Kassel (1992)
Mathematica Scandinavica
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Eugene Gover, Alfio Ragusa (1987)
Mathematica Scandinavica
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S. K. Kaul (1970)
Colloquium Mathematicae
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H. Blaine Jr. Lawson (1975)
Mathematica Scandinavica
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Takuma Imamura (2021)
Archivum Mathematicum
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In this paper, we clarify the relationship among the Vietoris-type homology theories and the microsimplicial homology theories, where the latter are nonstandard homology theories defined by M.C. McCord (for topological spaces), T. Korppi (for completely regular topological spaces) and the author (for uniform spaces). We show that McCord’s and our homology are isomorphic for all compact uniform spaces and that Korppi’s and our homology are isomorphic for all fine uniform spaces. Our homology...
Marian Mrozek, Bogdan Batko (2010)
Annales Polonici Mathematici
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We generalize the notion of cubical homology to the class of locally compact representable sets in order to propose a new convenient method of reducing the complexity of a set while computing its homology.
Bruns, Winfried, Vetter, Udo (1998)
Beiträge zur Algebra und Geometrie
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Yu. T. Lisitsa, S. Mardešić (1986)
Banach Center Publications
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Daniel Krasner (2009)
Fundamenta Mathematicae
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We investigate the Khovanov-Rozansky invariant of a certain tangle and its compositions. Surprisingly the complexes we encounter reduce to ones that are very simple. Furthermore, we discuss a "local" algorithm for computing Khovanov-Rozansky homology and compare our results with those for the "foam" version of sl₃-homology.
S. Dragotti, G. Magro, L. Parlato (2006)
Bollettino dell'Unione Matematica Italiana
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We give, here, a geometric treatment of intersection homology theory.
A. Blanco, J. Majadas, A.G. Rodicio (1996)
Inventiones mathematicae
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Z. Fiedorowicz, T. Pirashvili (1995)
Mathematische Annalen
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Krzysztof K. Putyra (2014)
Banach Center Publications
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We create a framework for odd Khovanov homology in the spirit of Bar-Natan's construction for the ordinary Khovanov homology. Namely, we express the cube of resolutions of a link diagram as a diagram in a certain 2-category of chronological cobordisms and show that it is 2-commutative: the composition of 2-morphisms along any 3-dimensional subcube is trivial. This allows us to create a chain complex whose homotopy type modulo certain relations is a link invariant. Both the original and...