On some topological properties of the ring of polynomials in $C_pC_p(X)$
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2010), pp. 34-38

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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.
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     author = {V. R. Lazarev},
     title = {On some topological properties of the ring of polynomials in $C_pC_p(X)$},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {34--38},
     publisher = {mathdoc},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2010_1_a3/}
}
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V. R. Lazarev. On some topological properties of the ring of polynomials in $C_pC_p(X)$. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 1 (2010), pp. 34-38. http://geodesic.mathdoc.fr/item/VTGU_2010_1_a3/