Geodesic
On c-sober spaces and ω * -well-filtered spaces
Filomat, Tome 37 (2023) no. 6, p. 1989

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DOI

Based on countably irreducible version of Topological Rudin's Lemma, we give some characterizations of c-sober spaces and ω *-well-filtered spaces. In particular, we prove that a topological space is c-sober iff its Smyth power space is c-sober and a c-sober space is an ω *-well-filtered space. We also show that a locally compact ω *-well-filtered P-space is c-sober and a T 0 space X is c-sober iff the one-point compactification of X is c-sober.
DOI : 10.2298/FIL2306989Y
Classification : 54B20, 54A25, 54D30, 06F30, 06B35
Keywords: c-sober space, ω∗-well-filtered space, Smyth power space, One-point compactification 
Jinbo Yang; Yun Luo; Zixuan Ye. On c-sober spaces and ω * -well-filtered spaces. Filomat, Tome 37 (2023) no. 6, p. 1989 . doi: 10.2298/FIL2306989Y
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     title = {On c-sober spaces and \ensuremath{\omega} * -well-filtered spaces},
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     year = {2023},
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     doi = {10.2298/FIL2306989Y},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2306989Y/}
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