Sequential convergences on Boolean algebras defined by systems of maximal filters

• Autores: Roman Fric, Jan Jakubik
• Localización: Czechoslovak mathematical journal, ISSN 0011-4642, Vol. 51, Nº 2, 2001, págs. 261-274
• Idioma: inglés
• DOI: 10.1023/a:1013738728926
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• Resumen

  • We study sequential convergences defined on a Boolean algebra by systems of maximal filters. We describe the order properties of the system of all such convergences. We introduce the category of 2-generated convergence Boolean algebras and generalize the construction of Novak sequential envelope to such algebras.