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On some properties of the space of upper semicontinuous functions
For a Tychonoff space , we will denote by () a set of
all real-valued upper semicontinuous functions (a set of all Baire functions of
class 1) defined on endowed with the pointwise convergence topology. In
this paper we describe a class of Tychonoff spaces for which the space
is sequentially separable. Unexpectedly, it turns out that this
class coincides with the class of spaces for which a stronger form of the
sequential separability for the space holds.Comment: 7 page
On sequential separability of functional spaces
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.Comment: 8 page
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