On the family of sequentially proper topologies on the space of maps
Trudy Instituta matematiki, Tome 21 (2013) no. 1, pp. 102-108
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This contribution investigates the properties of the space $C(X,Y)$ of continuous maps with the greatest sequentially proper topology. The main results of the research are necessary and sufficient conditions for admissibility and properness in the terms of Arens–Dugundji obtained for this topology.
@article{TIMB_2013_21_1_a12,
author = {D. S. Frolova},
title = {On the family of sequentially proper topologies on the space of maps},
journal = {Trudy Instituta matematiki},
pages = {102--108},
publisher = {mathdoc},
volume = {21},
number = {1},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2013_21_1_a12/}
}
D. S. Frolova. On the family of sequentially proper topologies on the space of maps. Trudy Instituta matematiki, Tome 21 (2013) no. 1, pp. 102-108. http://geodesic.mathdoc.fr/item/TIMB_2013_21_1_a12/