Establishes that strong selective sequential separability reduces under the Ramsey property, proves equivalences between covering properties on X and sequential properties on C_p(X), and introduces a Ramsey strengthening equivalent to α2 and α4 in function spaces.
Selection principles and games in bitopological function spaces
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abstract
For a Tychonoff space $X$, we denote by $(C(X), \tau_k, \tau_p)$ the bitopological space of all real-valued continuous functions on $X$ where $\tau_k$ is the compact-open topology and $\tau_p$ is the topology of pointwise convergence. In papers [5, 6, 13] variations of selective separability and tightness in $(C(X), \tau_k, \tau_p)$ were investigated. In this paper we continued to study the selective properties and the corresponding topological games in the space $(C(X), \tau_k, \tau_p)$.
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math.GN 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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On Ramsey properties, function spaces, and topological games
Establishes that strong selective sequential separability reduces under the Ramsey property, proves equivalences between covering properties on X and sequential properties on C_p(X), and introduces a Ramsey strengthening equivalent to α2 and α4 in function spaces.