Matematičeskie zametki, Tome 11 (1972) no. 2, pp. 201-208
Citer cet article
I. I. Perepechai. Class of topologies in spaces of continuous functions. Matematičeskie zametki, Tome 11 (1972) no. 2, pp. 201-208. http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a9/
@article{MZM_1972_11_2_a9,
author = {I. I. Perepechai},
title = {Class of topologies in spaces of continuous functions},
journal = {Matemati\v{c}eskie zametki},
pages = {201--208},
year = {1972},
volume = {11},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a9/}
}
TY - JOUR
AU - I. I. Perepechai
TI - Class of topologies in spaces of continuous functions
JO - Matematičeskie zametki
PY - 1972
SP - 201
EP - 208
VL - 11
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a9/
LA - ru
ID - MZM_1972_11_2_a9
ER -
%0 Journal Article
%A I. I. Perepechai
%T Class of topologies in spaces of continuous functions
%J Matematičeskie zametki
%D 1972
%P 201-208
%V 11
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a9/
%G ru
%F MZM_1972_11_2_a9
Let $S$ be an arbitrary topological space, and let $C(S)$ be the space of continuous real-valued functions on $S$. A certain class of topologies on $C(S)$ is studied. Some cases are indicated in which topologies of a given class on $C(S)$ are topologies of uniform convergence on compact sets of $S$.
