Closure Operators and Polarities
نویسنده
چکیده
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 M for an 〈E,M 〉 -category X . In effect, the “lattice” of closure operators on M is shown to be equivalent to the fixed point lattice of the polarity induced by the orthogonality relation between composable pairs of morphisms in M .
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