Maximal Tychonoff Spaces and Normal Isolator Covers
Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 217
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We introduce a new kind of cover called a normal isolator cover to characterize maximal Tychonoff spaces. Such a study is used to provide an alternative proof of an interesting result of Feng and S. Garcia-Ferreira from 1999 that every maximal Tychonoff space is extremally disconnected. Maximal tychonoffness of subspaces is also discussed.
Classification :
54D05, 54E15, 54E99
Keywords: star refinement, refinement, normally open cover, stronger topology, maximal uniformizable, extremally disconnected
Keywords: star refinement, refinement, normally open cover, stronger topology, maximal uniformizable, extremally disconnected
@article{10_2298_PIM1613217B,
author = {C. K. Basu and S. S. Mandal},
title = {Maximal {Tychonoff} {Spaces} and {Normal} {Isolator} {Covers}},
journal = {Publications de l'Institut Math\'ematique},
pages = {217 },
publisher = {mathdoc},
volume = {_N_S_99},
number = {113},
year = {2016},
doi = {10.2298/PIM1613217B},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1613217B/}
}
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C. K. Basu; S. S. Mandal. Maximal Tychonoff Spaces and Normal Isolator Covers. Publications de l'Institut Mathématique, _N_S_99 (2016) no. 113, p. 217 . doi: 10.2298/PIM1613217B
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