On sequential separability of functional spaces
Alexander V. Osipov, Evgenii G. Pytkeev
TL;DR
This paper establishes necessary and sufficient conditions for the space of first Baire class functions on a Tychonoff space to be (strongly) sequentially separable, advancing understanding of functional space topology.
Contribution
It provides a complete characterization of when B_1(X) is (strongly) sequentially separable based on topological properties of X.
Findings
Characterizes conditions for sequential separability of B_1(X).
Identifies when B_1(X) is strongly sequentially separable.
Advances topological understanding of function spaces.
Abstract
In this paper, we give necessary and sufficient conditions for the space B_1(X) of first Baire class functions on a Tychonoff space X, with pointwise topology, to be (strongly) sequentially separable.
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