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arXiv · 1905.08070

Strongly sequentially separable function spaces, via selection principles

Alexander V. Osipov·Piotr Szewczak·Boaz Tsaban
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Abstract

A separable space is strongly sequentially separable if, for each countable dense set, every point in the space is a limit of a sequence from the dense set. We consider this and related properties, for the spaces of continous and Borel real-valued functions on Tychonoff spaces, with the topology of pointwise convergence. Our results solve a problem stated by Gartside, Lo, and Marsh.

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Alexander V. Osipov, Piotr Szewczak, Boaz Tsaban. 2019-05-20. Strongly sequentially separable function spaces, via selection principles. https://arxiv.org/abs/1905.08070

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