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New Types of Almost Countable Dense Homogeneous Space
Joint Authors
al-Rawashdeh, Ahmed Saleh
Tallafha, Abdalla
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-05-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In 1972, Bennett studied the countable dense homogeneous (CDH) spaces and in 1992, Fitzpatrick, White, and Zhou proved that every CDH space is a T1 space.
Afterward Bsoul, Fora, and Tallafha gave another proof for the same result, also they defined the almost CDH spaces and almost T1, T0 spaces, indeed they prove that every ACDH space is an almost T1 space.
In this paper we introduce a new type of almost CDH spaces called ACDH-1, we characterize the ACDH spaces, the almost T0 spaces, we also give relations between different types of CDH spaces.
We define new type of almost T1 (AT1) 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 AT1.
American Psychological Association (APA)
Tallafha, Abdalla& al-Rawashdeh, Ahmed Saleh. 2010. New Types of Almost Countable Dense Homogeneous Space. International Journal of Mathematics and Mathematical Sciences،Vol. 2010, no. 2010, pp.1-11.
https://search.emarefa.net/detail/BIM-467119
Modern Language Association (MLA)
Tallafha, Abdalla& al-Rawashdeh, Ahmed Saleh. New Types of Almost Countable Dense Homogeneous Space. International Journal of Mathematics and Mathematical Sciences No. 2010 (2010), pp.1-11.
https://search.emarefa.net/detail/BIM-467119
American Medical Association (AMA)
Tallafha, Abdalla& al-Rawashdeh, Ahmed Saleh. New Types of Almost Countable Dense Homogeneous Space. International Journal of Mathematics and Mathematical Sciences. 2010. Vol. 2010, no. 2010, pp.1-11.
https://search.emarefa.net/detail/BIM-467119
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467119