Further remarks on KC and related spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 3, pp. 417-426
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A topological space is KC when every compact set is closed and SC when every convergent sequence together with its limit is closed. We present a complete description of KC-closed, SC-closed and SC minimal spaces. We also discuss the behaviour of the finite derived set property in these classes.
A topological space is KC when every compact set is closed and SC when every convergent sequence together with its limit is closed. We present a complete description of KC-closed, SC-closed and SC minimal spaces. We also discuss the behaviour of the finite derived set property in these classes.
Classification :
54A25, 54A35, 54D10, 54D25
Keywords: compact space; KC space; SC space; minimal KC space; minimal SC space; KC-closed space; SC-closed space; sequentially compact space; finite derived set property; wD property
Keywords: compact space; KC space; SC space; minimal KC space; minimal SC space; KC-closed space; SC-closed space; sequentially compact space; finite derived set property; wD property
@article{CMUC_2011_52_3_a7,
author = {Bella, Angelo and Costantini, Camillo},
title = {Further remarks on {KC} and related spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {417--426},
year = {2011},
volume = {52},
number = {3},
mrnumber = {2843233},
zbl = {1249.54056},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2011_52_3_a7/}
}
Bella, Angelo; Costantini, Camillo. Further remarks on KC and related spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 3, pp. 417-426. http://geodesic.mathdoc.fr/item/CMUC_2011_52_3_a7/