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Biclosed Binary Relations and Galois Connections

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Author Info
Domenach, F.
Leclerc, B.
Abstract

Given two closure spaces (E,j) and (E',j'), a relation R inclue dans E x E' is said biclosed if every row of its matrix representation corresponds t o a closed subset of E', and every column to a closed subset of E. An isomorphism between, on the one hand, the set of all biclosed relations and, on the other hand, the set of all Galois connections between the two lattices of closed sets is established. Several computational applications are derived from this result.

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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Papiers d'Economie Mathématique et Applications with number 2000.98.

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Length: 21 pages
Date of creation: 2000
Date of revision:
Handle: RePEc:fth:pariem:2000.98

Contact details of provider:
Postal: France; Universite de Paris I - Pantheon- Sorbonne, 12 Place de Pantheon-75005 Paris, France
Web page: http://cermsem.univ-paris1.fr/
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Related research
Keywords: DATA ANALYSIS ; MATHEMATICS ; CONNECTIONS;

Find related papers by JEL classification:
C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General

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