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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2010, номер 1, страницы 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

Аннотация: 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.

Ключевые слова и фразы: ring, continuous function, $\chi$-sequential space, $\chi$-normal space, $P$-space, extremally disconnected space.

MSC: 54C35, 54G05, 54G10

Поступила в редакцию: 02.02.2009

Язык публикации: английский



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