mz-Compact Spaces

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Atallah Al-ani
Atallah Al-ani
σ
A.T.Al-Ani
A.T.Al-Ani
α Visvesvaraya Technological University

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mz-Compact Spaces

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Abstract

In this work we study mz-compact spaces and mz-Lindel of spaces, where m is an infinite cardinal number. Several new properties of them are given. It is proved that every mzcompact space is pseuodocompact (a space on which every real valued continuous function is bounded). Characterizations of mz-compact and mz-Lindel of spaces by multifunctions are given.

References

4 Cites in Article
  1. A Al-Ani (2014). Countably z-compact spaces.
  2. L Gillman,M Jerison (1960). Rings of continuous functions.
  3. A Kirch (1969). A countable, connected, locally connected hausdorf space.
  4. Lynn Steen,J Seebach (1978). Counterexamples.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Atallah Al-ani. 2014. \u201cmz-Compact Spaces\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F6): .

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Issue Cover
GJSFR Volume 14 Issue F6
Pg. 37- 39
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

October 29, 2014

Language
en
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Published Article

In this work we study mz-compact spaces and mz-Lindel of spaces, where m is an infinite cardinal number. Several new properties of them are given. It is proved that every mzcompact space is pseuodocompact (a space on which every real valued continuous function is bounded). Characterizations of mz-compact and mz-Lindel of spaces by multifunctions are given.

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mz-Compact Spaces

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