On sequentially compact-open topology
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 75-84
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We investigate sequentially compact-open topology on the set of all continuous real-valued functions $C(X)$, defined on a Tychonov space $X$. We study the basic properties of this topology and relationships with well-known set-open topologies.
Keywords:
space of continuous functions, set-open topology, compact-open topology, sequentially compact subset, topology of uniform convergence.
@article{VUU_2011_3_a6,
author = {A. V. Osipov and D. A. Kosolobov},
title = {On sequentially compact-open topology},
journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
pages = {75--84},
publisher = {mathdoc},
number = {3},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VUU_2011_3_a6/}
}
TY - JOUR AU - A. V. Osipov AU - D. A. Kosolobov TI - On sequentially compact-open topology JO - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki PY - 2011 SP - 75 EP - 84 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VUU_2011_3_a6/ LA - ru ID - VUU_2011_3_a6 ER -
A. V. Osipov; D. A. Kosolobov. On sequentially compact-open topology. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2011), pp. 75-84. http://geodesic.mathdoc.fr/item/VUU_2011_3_a6/