Brezis-Browder Principle Revisited

Authors

  • Mihai Turinici

DOI:

https://doi.org/10.1285/i15900932v28n2p33

Keywords:

Quasi-order, maximal element, sequential inductivity, monotone function, pseudometric, Cauchy/asymptotic sequence, convergence structure, regularity

Abstract

En
Most of the known (sequential) maximality principles are logical equivalents of the Brezis-Browder’s [Adv. Math., 21 (1976), 355-364]. But, for at least one of these, the inclusional relation cannot be reversed. It is our aim to put this (metrical) statement in its natural (abstract) framework. Some applications of these facts to Zorn maximality principles are then given.

Downloads

Published

03-03-2010

Issue

Volume 28, Issue 2 (2008)

Section

Articoli

License

Authors who publish with this publication accept all the terms and conditions of the Creative Commons license at the link below.

Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode