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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive
Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010 Number 1, Pages 47–54 (Mi basm248)
Research articles

About rings of continuous functions in the expanded field of numbers

D. Ipate, R. Lupu

Transnistrean State University, Tiraspol, Moldova

Abstract: In the present article the generalized rings $C_\infty(X)$ of all continuous functions on the expanded straight line are studied. The conditions under which $C_\infty(X)$ is a ring or a linear space are determined.

Keywords and phrases: ring, continuous function, $\chi$-sequential space, $\chi$-normal space, $P$-space, extremally disconnected space.

MSC: 54C35, 54G05, 54G10

Received: 02.02.2009

Language: English



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