Mutually Compactificable Topological Spaces

Martin Maria Kovár

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-10

Abstract:

Two disjoint topological spaces X , Y are ( T 2 - ) mutually compactificable if there exists a compact ( T 2 - ) topology on K = X ∪ Y which coincides on X , Y with their original topologies such that the points x ∈ X , y ∈ Y have open disjoint neighborhoods in K . This paper, the first one from a series, contains some initial investigations of the notion. Some key properties are the following: a topological space is mutually compactificable with some space if and only if it is θ -regular. A regular space on which every real-valued continuous function is constant is mutually compactificable with no S 2 - space. On the other hand, there exists a regular non- T 3.5 space which is mutually compactificable with the infinite countable discrete space.

Date: 2007
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2007/070671.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2007/070671.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:070671

DOI: 10.1155/2007/70671

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 ().