Closure Operators and Polaritiesa
Gabriele Castellini, Jürgen Koslowski, George E. Strecker · Annals of the New York Academy of Sciences · 1993
ABSTRACT. 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 𝓂 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.