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Closure Operators and Polarities a
Author(s) -
CASTELLINI G.,
KOSLOWSKI J.,
STRECKER G. E.
Publication year - 1993
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1993.tb52508.x
Subject(s) - closure (psychology) , morphism , closure operator , mathematics , lattice (music) , complete lattice , pure mathematics , physics , closed set , condensed matter physics , universality (dynamical systems) , economics , acoustics , market economy
. Basic results are obtained concerning Galois connections between collections of closure operators (of various types) and collections consisting of subclasses of (pairs of) morphisms in for an (E, )‐category In effect, the “lattice” of closure operators on is shown to be equivalent to the fixed‐point lattice of the polarity induced by the orthogonality relation between composable pairs of morphisms in .