Homology Equivalences and a Technique of Ganea.
Graham Hilton Toomer (1976)
Mathematische Zeitschrift
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Graham Hilton Toomer (1976)
Mathematische Zeitschrift
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F.R. Cohen, L.R. Taylor (1988)
Mathematische Zeitschrift
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Victor Snaith (1983)
Mathematische Zeitschrift
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Ludger Kaup, Karl-Heinz Fieseler (1988)
Mathematische Zeitschrift
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Hans Ligaard, Ib Madsen (1975)
Mathematische Zeitschrift
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Pitsch, Wolfgang, Scherer, Jérôme (2004)
Homology, Homotopy and Applications
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Ulrich Oberst (1968)
Mathematische Zeitschrift
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S. K. Kaul (1970)
Colloquium Mathematicae
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Urs Stammbach (1972)
Mathematische Zeitschrift
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Bruns, Winfried, Vetter, Udo (1998)
Beiträge zur Algebra und Geometrie
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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...
Yu. T. Lisitsa, S. Mardešić (1986)
Banach Center Publications
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Dung Yung Yan (1995)
Mathematische Zeitschrift
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Z. Fiedorowicz, T. Pirashvili (1995)
Mathematische Annalen
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Sara Dragotti, Gaetano Magro, Lucio Parlato (2007)
Bollettino dell'Unione Matematica Italiana
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We construct, here, transverse homology functors, and we prove their invariance with respect to a suitable definition of homotopy.
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.