Remark on Σ-products

Kombarov, A.P.

doi:10.1134/s0001434612030145

Search citation statements

Order By: Relevance

Paper Sections

Select...

Given F In a Since F Factorizes Through Q S(f ) And S(f ) ⊂1

Example 231

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2014

2015

Publication Types

Select...

Article1

Other1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(2 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The proof of the following result uses a very old idea of saturation (see for example [14]). Proposition 3.11.…”

Section: Given F In a Since F Factorizes Through Q S(f ) And S(f ) ⊂mentioning

confidence: 98%

On some monotone properties

Casarrubias-Segura

Rojas-Hernández

2015

Topology and its Applications

View full text Add to dashboard Cite

In this paper we deal with some classes of spaces defined by networks and retractions, in particular we prove: Any closed subspace in a Σ-product of cosmic spaces is monotonically stable. A space X is monotonically retractable if and only if it is monotonically ω-stable and has a full retractional skeleton. Any monotonically retractable and monotonically ω-monolithic space is monotonically Sokolov, and as a consequence, any monotonically Sokolov and monotonically ω-stable space is monotonically retractable. Any closed subspace of a countably compact monotonically retractable space X is a W -set in X. These results generalize some results obtained in [18,6,8,10].

show abstract

“…The proof of the following result uses a very old idea of saturation (see for example [14]). Proposition 3.11.…”

Section: Given F In a Since F Factorizes Through Q S(f ) And S(f ) ⊂mentioning

confidence: 98%

On some monotone properties

Casarrubias-Segura

Rojas-Hernández

2015

Topology and its Applications

View full text Add to dashboard Cite

show abstract

“…Then the set [0, 1] × F i is closed in H for every i = 1, 2. Since H is the Σ-product of the family (X s ) s∈[0,1] (see [5, p. 118]), according to [10] the space H is normal.…”

Section: Example 23mentioning

confidence: 99%

On $α$-embedded sets and extension of mappings

Karlova¹

2014

Preprint

View full text Add to dashboard Cite

show abstract

Remark on Σ-products

Cited by 2 publications

References 2 publications

On some monotone properties

On some monotone properties

On $α$-embedded sets and extension of mappings

Contact Info

Product

Resources

About