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Information Seminar Paper

Title

ON FUNCTIONALLY CONSTANT SUBSET OF X WITH RESPECT TO A SUBRING A OF C(X)

Author(s)

NAMDARI M. | Soltanpour S.

Pages

  -

Keywords

COUNTABLE SUBALGEBRA OF C(X) 

Abstract

 LET Y BE A SUBSET OF A SPACE X. THEN THE SET OF ALL ¦ Î C(X) SUCH THAT ¦|Y BE CONSTANT (COUNTABLE) IS A SUBALGEBRA OF C(X), DENOTED BY C1(Y) (CC(Y)) AND Y IS CONSTANT (COUNTABLE) WITH RESPECT TO A SUBRING A OF C(X) IF A Í  C1(Y) (A Í CC (Y)). IF X IS A TOPOLOGICAL SPACE AND Y IS A CONNECTED SUBSET OF X, THEN CC(X) Í  C1(Y). IN PARTICULAR, IF  X\Y IS COUNTABLE, THEN A  C1(Y) IF AND ONLY IF A Í  CC(X). IT IS SHOWN THAT FOR ANY SUBSPACEY OF X, R Í  C1(Y) Í  C(X). MOREOVER, C1(Y) =R IF AND ONLY IF Y IS DENSE INX.

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  • Cite

    APA: Copy

    NAMDARI, M., & Soltanpour, S.. (). . . SID. https://sid.ir/paper/938696/en

    Vancouver: Copy

    NAMDARI M., Soltanpour S.. . . Available from: https://sid.ir/paper/938696/en

    IEEE: Copy

    M. NAMDARI, and S. Soltanpour, “,” presented at the . , [Online]. Available: https://sid.ir/paper/938696/en

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