On Hausdorff compactifications of non-locally compact spaces

James Hatzenbuhler and Don A. Mattson

International Journal of Mathematics and Mathematical Sciences, 1979, vol. 2, 1-6

Abstract:

Let X be a completely regular, Hausdorff space and let R be the set of points in X which do not possess compact neighborhoods. Assume R is compact. If X has a compactification with a countable remainder, then so does the quotient X / R , and a countable compactificatlon of X / R implies one for X − R . A characterization of when X / R has a compactification with a countable remainder is obtained. Examples show that the above implications cannot be reversed.

Date: 1979
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2/718649.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2/718649.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:718649

DOI: 10.1155/S0161171279000375

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().