A. V. Osipov, D. A. Kosolobov, “On sequentially compact-open topology”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, Issue 3,Pages <nobr>75

This article is cited in 5 papers

MATHEMATICS

On sequentially compact-open topology

A. V. Osipov^a, D. A. Kosolobov^b

^a Department of Algebra and Topology, Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
^b Ural Federal University, Yekaterinburg, Russia

Abstract: 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.

UDC: 517.982.272+515.122.55

MSC: 54C40, 54C35, 54D60

Received: 21.06.2011