A Minimal Regular Space that is Not Strongly Minimal Regular
Canadian journal of mathematics, Tome 28 (1976) no. 4, pp. 875-878
Voir la notice de l'article provenant de la source Cambridge University Press
A regular T 1 space is said to be R-closed if there is no regular T 1 space in which it can be embedded as a nonclosed subspace. A regular T 1 space is said to be minimal regular if no regular T1 topology on the underlying set is strictly weaker than the given topology. It is known (see [1, Theorem 4, p. 455]) that every minimal regular space is R-closed. An R-closed space, however, need not be minimal regular [3, Example 2, p. 288].
Pettey, Dix H. A Minimal Regular Space that is Not Strongly Minimal Regular. Canadian journal of mathematics, Tome 28 (1976) no. 4, pp. 875-878. doi: 10.4153/CJM-1976-083-5
@article{10_4153_CJM_1976_083_5,
author = {Pettey, Dix H.},
title = {A {Minimal} {Regular} {Space} that is {Not} {Strongly} {Minimal} {Regular}},
journal = {Canadian journal of mathematics},
pages = {875--878},
year = {1976},
volume = {28},
number = {4},
doi = {10.4153/CJM-1976-083-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-083-5/}
}
TY - JOUR AU - Pettey, Dix H. TI - A Minimal Regular Space that is Not Strongly Minimal Regular JO - Canadian journal of mathematics PY - 1976 SP - 875 EP - 878 VL - 28 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-083-5/ DO - 10.4153/CJM-1976-083-5 ID - 10_4153_CJM_1976_083_5 ER -
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