On the order-theoretic Cantor theorem

Authors
Granas, A Horvath, CD
Citation
A. Granas et Cd. Horvath, On the order-theoretic Cantor theorem, TAIWAN J M, 4(2), 2000, pp. 203-213
Citations number
15
Categorie Soggetti
Mathematics
Journal title
TAIWANESE JOURNAL OF MATHEMATICS
ISSN journal
10275487 → ACNP
Volume
4
Issue
2
Year of publication
2000
Pages
203 - 213
Database
ISI
SICI code
1027-5487(200006)4:2<203:OTOCT>2.0.ZU;2-U
Abstract
In this report(1), we present an order-theoretic version of the Canter theo rem. This result, which is based on the interplay of the notions of partial , order and of completeness, permits to give a unified and simplified accou nt to a long list of results related to the Bishop-Phelps theorem. We surve y briefly only its simplest applications and refer the reader to [10] for a complete presentation of the results.