Sequential convergences on Boolean algebras defined by systems of maximal filters
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 2, pp. 261-274
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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 Novák sequential envelope to such algebras.
Classification :
06E15, 54A20, 54B30, 54H12
Keywords: sequential convergence on Boolean algebras; 2-generated convergence; 2-embedded Boolean algebra; absolutely sequentially closed Boolean algebra
Keywords: sequential convergence on Boolean algebras; 2-generated convergence; 2-embedded Boolean algebra; absolutely sequentially closed Boolean algebra
@article{CMJ_2001__51_2_a3,
author = {Fri\v{c}, Roman and Jakub{\'\i}k, J\'an},
title = {Sequential convergences on {Boolean} algebras defined by systems of maximal filters},
journal = {Czechoslovak Mathematical Journal},
pages = {261--274},
publisher = {mathdoc},
volume = {51},
number = {2},
year = {2001},
mrnumber = {1844309},
zbl = {0976.54003},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_2_a3/}
}
TY - JOUR AU - Frič, Roman AU - Jakubík, Ján TI - Sequential convergences on Boolean algebras defined by systems of maximal filters JO - Czechoslovak Mathematical Journal PY - 2001 SP - 261 EP - 274 VL - 51 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMJ_2001__51_2_a3/ LA - en ID - CMJ_2001__51_2_a3 ER -
Frič, Roman; Jakubík, Ján. Sequential convergences on Boolean algebras defined by systems of maximal filters. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 2, pp. 261-274. http://geodesic.mathdoc.fr/item/CMJ_2001__51_2_a3/