mz-Compact Spaces

Authors

  • A.T.Al-Ani

mz-compact space, mz-Lindel of space, m-compact space, pseudocompact space, realcompact space

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.

Downloads

How to Cite

mz-Compact Spaces. (2014). Global Journal of Science Frontier Research, 14(F6), 37-39. https://www.journalofscience.org/index.php/GJSFR/article/view/1429

 

References

A Al-Ani (2014) Countably z-compact spaces. 50(2), 97-100.

L Gillman, M Jerison (1960) Rings of continuous functions.

A Kirch (1969) A countable, connected, locally connected hausdorf space. 169-171.

Lynn Steen, J Seebach (1978) Counterexamples. 39-158.

mz-Compact Spaces

Published

2014-10-29

Issue

Vol. 14 No. F6 (2014): GJSFR-F Mathematics: Volume 14 Issue F6

Section

Articles

License

Copyright (c) 2014 Authors and Global Journals Private Limited

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

mz-Compact Spaces. (2014). Global Journal of Science Frontier Research, 14(F6), 37-39. https://www.journalofscience.org/index.php/GJSFR/article/view/1429