Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-03T00:43:24.450Z Has data issue: false hasContentIssue false
  • English
  • Français

One-point extensions of locally para-H-closed spaces

Part of: Fairly general properties Maps and general types of spaces defined by maps

Published online by Cambridge University Press:  09 April 2009

M. I. Zahid  and
R. W. Heath
M. I. Zahid
Affiliation:
University of Pittsburgh at BradfordBradford, Pennsylvania 16701, USA
R. W. Heath
Affiliation:
Mathematics Department University of pittsburghPittsburgh, Pennsylvania 15260, USA
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A space X is para-H-closed if every open cover of X has a locally-finite open refinement (not necessarily covering the space) whose union is dense in X. In this paper, we study one-point para-H-closed extensions of locally para-H-closed spaces.

Keywords

para-H-closedlocally para-H-closedH-closedone-point extensionprojective maximumprojective minimum

MSC classification

Secondary: 54D25: “$P$-minimal” and “$P$-closed” spaces 54D99: None of the above, but in this section 54C20: Extension of maps
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 38 , Issue 1 , February 1985 , pp. 138 - 142
Copyright
Copyright © Australian Mathematical Society 1985

References

[1]Obreanu, F., ‘Spatii local absolut inchise’, An Acad. Repub. Pop. Romine Sect. Sti. Mat. Fiz. Chim. Ser. A 3 (1950), 375–394.Google Scholar
[2]Porter, J. R., ‘On locally H-closed spaces’, proc. London Math. Soc. (3) 20 (1970), 193–204.Google Scholar
[3]Zahid, M. I., Para-H-closed spaces, locally para-H-closed spaces and their minimal topologies, Ph.D. Dissertation, 1981.Google Scholar