Duality theorems
W. Mayer (1948)
Fundamenta Mathematicae
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W. Mayer (1948)
Fundamenta Mathematicae
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Sibe Mardešić (1958)
Fundamenta Mathematicae
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Steven Garavaglia (1978)
Fundamenta Mathematicae
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Robert M. Hardt, Clint G. McCrory (1979)
Compositio Mathematica
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J. Dugundji (1966)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Chung-Wu Ho (1975)
Colloquium Mathematicae
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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.
Fred Richman (1976)
Fundamenta Mathematicae
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Broto, C., Vershinin, V.V. (2000)
Zapiski Nauchnykh Seminarov POMI
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Antonio F. Costa, Jesús M. Ruiz (1986)
Mathematische Annalen
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Oleg Viro (2004)
Fundamenta Mathematicae
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Mikhail Khovanov defined, for a diagram of an oriented classical link, a collection of groups labelled by pairs of integers. These groups were constructed as the homology groups of certain chain complexes. The Euler characteristics of these complexes are the coefficients of the Jones polynomial of the link. The original construction is overloaded with algebraic details. Most of the specialists use adaptations of it stripped off the details. The goal of this paper is to overview these...
S. K. Kaul (1970)
Colloquium Mathematicae
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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...