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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2010, Number 1(9), Pages 34–38 (Mi vtgu4)  
MATHEMATICS

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

V. R. Lazarev

Tomsk State University, Faculty of Mechanics and Mathematics
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Abstract: In this note we establish basic topological properties of the smallest subring of $C_pC_p(X)$, which contains $X$, as well as some relations of this properties with properties of space $X$.
Keywords: space of continuous functions, pointwise convergence topology, topological ring of polynomials.

Accepted: February 16, 2010
Document Type: Article
UDC: 515.12
Language: Russian
Citation: V. R. Lazarev, “On some topological properties of the ring of polynomials in $C_pC_p(X)$”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2010, no. 1(9), 34–38
Citation in format AMSBIB
\Bibitem{Laz10}
\by V.~R.~Lazarev
\paper On some topological properties of the ring of polynomials in $C_pC_p(X)$
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2010
\issue 1(9)
\pages 34--38
\mathnet{http://mi.mathnet.ru/vtgu4}
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    		Вестник Томского государственного университета. Математика и механика
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