The compactificability classes: The behavior at infinity

Martin Maria Kovár

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-12

Abstract:

We study the behavior of certain spaces and their compactificability classes at infinity. Among other results we show that every noncompact, locally compact, second countable Hausdorff space X such that each neighborhood of infinity (in the Alexandroff compactification) is uncountable, has ( X ) = ( â„ ) . We also prove some criteria for (non-) comparability of the studied classes of mutual compactificability.

Date: 2006
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2006/024370.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2006/024370.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:024370

DOI: 10.1155/IJMMS/2006/24370

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 ().