New Types of Almost Countable Dense Homogeneous Space

Abdalla Tallafha and Ahmed Al-Rawashdeh

International Journal of Mathematics and Mathematical Sciences, 2010, vol. 2010, 1-11

Abstract:

In 1972, Bennett studied the countable dense homogeneous (CDH) spaces and in 1992, Fitzpatrick, White, and Zhou proved that every CDH space is a 𠑇 1 space. Afterward Bsoul, Fora, and Tallafha gave another proof for the same result, also they defined the almost CDH spaces and almost 𠑇 1 , 𠑇 0 spaces, indeed they prove that every ACDH space is an almost 𠑇 1 space. In this paper we introduce a new type of almost CDH spaces called ACDH-1, we characterize the ACDH spaces, the almost 𠑇 0 spaces, we also give relations between different types of CDH spaces. We define new type of almost 𠑇 1 ( ð ´ ð ‘‡ 1 ) spaces, and we study the relations between the old and new definitions. By extending the techniques given by Tallafha, Bsoul, and Fora, we prove that every ACDH-1 is an ð ´ ð ‘‡ 1 .

Date: 2010
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2010/375293.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2010/375293.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:375293

DOI: 10.1155/2010/375293

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 ().