Selection principles and games in bitopological function spaces

2019/03/19 by Daniil Lyakhovets, Lyakhovets, Daniil, Alexander V. Osipov +1
Mathematics · #FOS: Mathematics #General Topology (math.GN) #math.GN

paper · pdf · doi:10.48550/arxiv.1903.08160

10 pages. arXiv admin note: text overlap with arXiv:1805.04363

arxiv created 2019/03/19 · arxiv updated 2019/03/21

Abstract

For a Tychonoff space X, we denote by (C(X), τ_k, τ_p) the bitopological space of all real-valued continuous functions on X where τ_k is the compact-open topology and τ_p is the topology of pointwise convergence. In papers [5, 6, 13] variations of selective separability and tightness in (C(X), τ_k, τ_p) were investigated. In this paper we continued to study the selective properties and the corresponding topological games in the space (C(X), τ_k, τ_p).

Citations

• Selection principles in function spaces with the compact-open topology

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