Note on s-expandable spaces
In [1], the author claimed that “if F = { F j : j ∈ J } is a semi locally finite collection of a topological space, then ⋃ j ∈ J sCl ( F j ) = sCl ( ⋃ j ∈ J F j ) .” We provide an illustrative example to show that this claim is false in general. Then, we investigate the condition under which this eq...
Gespeichert in:
Veröffentlicht in: | Acta mathematica Hungarica 2023-08, Vol.170 (2), p.633-634 |
---|---|
1. Verfasser: | |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
Zusammenfassung: | In [1], the author claimed that “if
F
=
{
F
j
:
j
∈
J
}
is a semi locally finite collection of a topological space, then
⋃
j
∈
J
sCl
(
F
j
)
=
sCl
(
⋃
j
∈
J
F
j
)
.” We provide an illustrative example to show that this claim is false in general. Then, we investigate the condition under which this equality is true. |
---|---|
ISSN: | 0236-5294 1588-2632 |
DOI: | 10.1007/s10474-023-01351-5 |