On quasi-developable spaces

Harold R. Bennett

doi:10.1016/0016-660X(71)90096-1

On quasi-developable spaces

Harold R. Bennett

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

In this paper quasi-developable spaces are defined and several results are given showing the relationship between quasi-developable spaces and developable spaces. A quasi- developable space is developable if and only if it has closed sets G_δ. A metacompact space is a completely regular Moore space if and only if it is a quasi-developable p-space. The notion of completeness is also defined for a quasi-developable space. A regular metacompact space is a complete Moore space if and only if it is a complete quasi-developable space.

Original language	English
Pages (from-to)	253-262
Number of pages	10
Journal	General Topology and its Applications
Volume	1
Issue number	3
DOIs	https://doi.org/10.1016/0016-660X(71)90096-1
State	Published - Nov 1971

Access to Document

10.1016/0016-660X(71)90096-1

Cite this

@article{bfdbfae083f44494acbccbe99b433ff9,

title = "On quasi-developable spaces",

abstract = "In this paper quasi-developable spaces are defined and several results are given showing the relationship between quasi-developable spaces and developable spaces. A quasi- developable space is developable if and only if it has closed sets Gδ. A metacompact space is a completely regular Moore space if and only if it is a quasi-developable p-space. The notion of completeness is also defined for a quasi-developable space. A regular metacompact space is a complete Moore space if and only if it is a complete quasi-developable space.",

author = "Bennett, {Harold R.}",

year = "1971",

month = nov,

doi = "10.1016/0016-660X(71)90096-1",

language = "English",

volume = "1",

pages = "253--262",

journal = "General Topology and its Applications",

issn = "0016-660X",

number = "3",

}

TY - JOUR

T1 - On quasi-developable spaces

AU - Bennett, Harold R.

PY - 1971/11

Y1 - 1971/11

N2 - In this paper quasi-developable spaces are defined and several results are given showing the relationship between quasi-developable spaces and developable spaces. A quasi- developable space is developable if and only if it has closed sets Gδ. A metacompact space is a completely regular Moore space if and only if it is a quasi-developable p-space. The notion of completeness is also defined for a quasi-developable space. A regular metacompact space is a complete Moore space if and only if it is a complete quasi-developable space.

AB - In this paper quasi-developable spaces are defined and several results are given showing the relationship between quasi-developable spaces and developable spaces. A quasi- developable space is developable if and only if it has closed sets Gδ. A metacompact space is a completely regular Moore space if and only if it is a quasi-developable p-space. The notion of completeness is also defined for a quasi-developable space. A regular metacompact space is a complete Moore space if and only if it is a complete quasi-developable space.

UR - http://www.scopus.com/inward/record.url?scp=0001301983&partnerID=8YFLogxK

U2 - 10.1016/0016-660X(71)90096-1

DO - 10.1016/0016-660X(71)90096-1

M3 - Article

AN - SCOPUS:0001301983

SN - 0016-660X

VL - 1

SP - 253

EP - 262

JO - General Topology and its Applications

JF - General Topology and its Applications

IS - 3

ER -

On quasi-developable spaces

Abstract

Access to Document

Other files and links

Fingerprint

Cite this