English

Selection principles and games in bitopological function spaces

General Topology 2019-03-21 v1

Abstract

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

Keywords

Cite

@article{arxiv.1903.08160,
  title  = {Selection principles and games in bitopological function spaces},
  author = {Daniil Lyakhovets and Alexander V. Osipov},
  journal= {arXiv preprint arXiv:1903.08160},
  year   = {2019}
}

Comments

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

R2 v1 2026-06-23T08:13:11.315Z