Resolvable Spaces and Compactifications

Al-Hajri, Monerah; Belaid, Karim

doi:10.4236/apm.2013.33052

Search citation statements

Order By: Relevance

Paper Sections

Select...

Lemma 33 ([2 Lemma 21])1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2019

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(2 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is clear that F (i,O) ∈ F i ∈ wX \ X and F (i ′ ,O ′ ) ∈ F i ′ ∈ wX \ X. Hence, F (i,O) and F (i ′ ,O ′ ) are non compact closed subsets ( see [2,Lemma 3.4]), which are disjoint.…”

Section: Lemma 33 ([2 Lemma 21])mentioning

confidence: 99%

See 1 more Smart Citation

F-n-resolvable spaces and compactifications

Dahane

Dridi²,

Lazaar

2019

Appl. Gen. Topol.

View full text Add to dashboard Cite

<p>A topological space is said to be resolvable if it is a union of<br />two disjoint dense subsets. More generally it is called n-resolvable if it is a union of n pairwise disjoint dense subsets. In this paper, we characterize topological spaces such that their reflections (resp., compactifications) are n-resolvable (resp., exactly-n-resolvable, strongly-exactly-n-resolvable), for some particular cases of reflections and compactifications.</p>

show abstract

Section: Lemma 33 ([2 Lemma 21])mentioning

confidence: 99%

“…Some papers, as [5] and [3] were interested in spaces such that their compactifications are submaximal, door and nodec. Specially in [2], K. Belaid and M. Al-Hajri have characterized topological spaces such that their one point compactifications (resp., Wallman compactifications) are resolvable.…”

Section: Introductionmentioning

confidence: 99%