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arXiv · 2109.09716

Functions on products of pseudocompact spaces

Evgenii Reznichenko
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Abstract

For every natural number $ n $, any continuous function on the product of $ X_1 \times X_2 \times ... \times X_n $ pseudocompact spaces extends to a separately continuous function on the product $ \beta X_1 \times \beta X_2 \times ... \times \beta X_n $ of their Stone-Cech compactifications.

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Evgenii Reznichenko. 2021-09-20. Functions on products of pseudocompact spaces. https://doi.org/10.1016/j.topol.2021.107935

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