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
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{VTGU_2010_1_a3,
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/}
}
TY - JOUR AU - V. R. Lazarev TI - On some topological properties of the ring of polynomials in $C_pC_p(X)$ JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2010 SP - 34 EP - 38 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTGU_2010_1_a3/ LA - ru ID - VTGU_2010_1_a3 ER -
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/