Lattice Morphisms, Sobriety, and Urysohn Lemmas

W. Kotzé

doi:10.1007/978-94-011-2616-8_11

Applications of Category Theory to Fuzzy Subsets pp 257-274 | Cite as

Lattice Morphisms, Sobriety, and Urysohn Lemmas

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W. Kotzé

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Part of the Theory and Decision Library book series (TDLB, volume 14)

Abstract

C. H. Dowker and Dona Papert established a relationship between continuous functions and frame maps in their 1967 paper on Urysohn’s Lemma. This can be improved upon and extended to the fuzzy situation. The role of sobriety is emphasized.

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Cite this chapter as:: Kotzé W. (1992) Lattice Morphisms, Sobriety, and Urysohn Lemmas. In: Rodabaugh S.E., Klement E.P., Höhle U. (eds) Applications of Category Theory to Fuzzy Subsets. Theory and Decision Library (Series B: Mathematical and Statistical Methods), vol 14. Springer, Dordrecht

DOI https://doi.org/10.1007/978-94-011-2616-8_11
Publisher Name Springer, Dordrecht
Print ISBN 978-94-010-5156-9
Online ISBN 978-94-011-2616-8
eBook Packages Springer Book Archive

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