Abstract
In this report1, we present an order-theoretic version of the Cantor theorem. This result, which is based on the interplay of the notions of partial order and of completeness, permits to give a unified and simplified account to a long list of results related to the Bishop– Phelps theorem. We survey briefly only its simplest applications and refer the reader to [10] for a complete presentation of the results.
Citation
Andrzej Granas. Charles D. Horvath. "ON THE ORDER-THEORETIC CANTOR THEOREM." Taiwanese J. Math. 4 (2) 203 - 213, 2000. https://doi.org/10.11650/twjm/1500407228
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