On some topological properties of the ring of polynomials in CpCp(X) | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2010. № 1(9).

HomeIssuesOn some topological properties of the ring of polynomials in CpCp(X) | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2010. № 1(9).

On some topological properties of the ring of polynomials in CpCp(X)

In this note we establish basic topological properties of the smallest subring ofCpCp(X), which contain X, as well as some relations of this properties with properties of space X.

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Keywords

pointwise convergence topology, topological ring of polynomials, space of continuous functions, топологическое кольцо многочленов, топология поточечной сходимости, пространство непрерывных функций

Authors

NameOrganizationE-mail
Lazarev V.R.lazarev@math.tsu.ru
Всего: 1

References

Ткачук В.В. Наименьшее подкольцо кольца Cp(Cp(X)), содержащее X ¼ {1}, всюду плотно в Cp(Cp(X)) // Вестн. МГУ. Сер. Математика, механика. 1987. № 1. С. 20 - 22.
Архангельский А.В. Топологические пространства функций. М. Изд-во МГУ, 1989.
On some topological properties of the ring of polynomials in <i>CpCp</i>(<i>X</i>) | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2010. № 1(9).

On some topological properties of the ring of polynomials in CpCp(X) | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2010. № 1(9).

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