Reference
Thron, W. J.,Lattice-equivalence of topological spaces, Duke Math. J. 29 (1962), 671–679.
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Communicated by Boris M. Schein
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Baird, B.B. Epimorphisms of inverse semigroups of homeomorphisms between closed subsets. Semigroup Forum 14, 161–166 (1977). https://doi.org/10.1007/BF02194663
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DOI: https://doi.org/10.1007/BF02194663