SOME PROPERTIES OF C(X) WITH M- TOPOLOGY

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AFROUZ S.; PEYMAN MONIREH

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Paper Information

Journal: SHAHID CHAMRAN UNIVERSITY JOURNAL OF SCIENCE Year:2008 | Volume:NEW SERIES | Issue:18 (SECTION A) Page(s): 53-61

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Information Journal Paper

Title

SOME PROPERTIES OF C(X) WITH M- TOPOLOGY

Author(s)

AFROUZ S. | PEYMAN MONIREH | Issue Writer Certificate

Keywords

POSITIVE UNITQ3

M - TOPOLOGYQ3

ALMOST P -SPACEQ3

FIRST COUNTABLEQ3

PSEUDOCOMPACTQ3

ZERODIVISORQ3

CK(X)Q3

C¥Q3

SANS-SERIF"> (X)Q3

EXTREMALLY DISCONNECTEDQ3

Abstract

In this article we will observe that Cm(X), the space C(X) with M - TOPOLOGY, is a regular Hausdorff space and we show that Cm(X) is FIRST COUNTABLE iff X is pseudo compact. We prove that Cm(X) ,is never a P - space (or pseudo compact). It is shown that the collection of zero divisor functions is closed in Cm(X) iff X is an ALMOST P -SPACE. The family of units in Cm(X) is investigated and using this, we observe that Cm(X) is never an extremely disconnected space. Finally, we show that C¥(X) is closed in Cm,(X) and the closure of Ck(X) is characterized in terms of maximal ideals of C(X).

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APA: Copy

AFROUZ, S., & PEYMAN, MONIREH. (2008). SOME PROPERTIES OF C(X) WITH M- TOPOLOGY. SHAHID CHAMRAN UNIVERSITY JOURNAL OF SCIENCE, NEW SERIES(18 (SECTION A)), 53-61. SID. https://sid.ir/paper/58044/en

Vancouver: Copy

AFROUZ S., PEYMAN MONIREH. SOME PROPERTIES OF C(X) WITH M- TOPOLOGY. SHAHID CHAMRAN UNIVERSITY JOURNAL OF SCIENCE[Internet]. 2008;NEW SERIES(18 (SECTION A)):53-61. Available from: https://sid.ir/paper/58044/en

IEEE: Copy

S. AFROUZ, and MONIREH PEYMAN, “SOME PROPERTIES OF C(X) WITH M- TOPOLOGY,” SHAHID CHAMRAN UNIVERSITY JOURNAL OF SCIENCE, vol. NEW SERIES, no. 18 (SECTION A), pp. 53–61, 2008, [Online]. Available: https://sid.ir/paper/58044/en

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