Ambiguous representations as fuzzy relations between sets
Category Theory
2011-08-08 v2 General Topology
Abstract
Crisp and -fuzzy ambiguous representations of closed subsets of one space by closed subsets of another space are introduced. It is shown that, for each pair of compact Hausdorff spaces, the set of (crisp or -fuzzy) ambiguous representations is a lattice and a compact Hausdorff Lawson upper semilattice. The categories of ambiguous and -ambiguous representations are defined and investigated.
Cite
@article{arxiv.1108.1069,
title = {Ambiguous representations as fuzzy relations between sets},
author = {Oleh Nykyforchyn and Dušan Repovš},
journal= {arXiv preprint arXiv:1108.1069},
year = {2011}
}