Continuity and separation for pointwise-symmetric isotonic closure functions

Details Continuity and separation for pointwise-symmetric isotonic closure functions Continuity and separation for pointwise-symmetric isotonic closure functions

2005-07-12

arxiv.org/abs/math/0507230v1

Mathematics

General Topology

Scientific paper

In this paper, we show that a pointwise-symmetric isotonic closure function
is uniquely determined by the pairs of sets it separates. We then show that
when the closure function of the domain is isotonic and the closure function of
the codomain is isotonic and pointwise-symmetric, functions which separate only
those pairs of sets which are already separated are continuous.

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