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RE-proximities as fixed points of an operator on pseudo proximities

โœ Scribed by Monique Chicourrat

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
103 KB
Volume
104
Category
Article
ISSN
0166-8641

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โœฆ Synopsis

We show that the RE-proximities of Csรกszรกr (1986) can be obtained as images of some natural operator defined on pseudo proximities. Considering the one-to-one correspondence between closed graph relations on the ultrafilter space (the so-called "nasses" of Haddad ( 1970)) and pseudo proximities, this operator is indeed the correspondent of an idempotent operator defined on nasses and based upon the concepts of equivalence kernel and domain of a nasse.

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