Displaying similar documents to “Duality theorems”

Comparison of homologies

J. Dugundji (1966)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Foundations of Vietoris homology theory with applications to non-compact spaces

Robert E. Reed

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CONTENTSPreface...................................................................................................................................... 5I. Introduction............................................................................................................................ 7II. Simple chains 2.1. Simplexes............................................................................................................ 12 2.2. Chains..............................................................................................................................

Khovanov homology, its definitions and ramifications

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...

Transverse Homology Groups

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.