Separatedness in constructive topology

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Abstract

We discuss three natural, classically equivalent, Hausdorff separation properties for topological spaces in constructive mathematics. Using Brouwerian examples, we show that our results are the best possible in our constructive framework.

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Bridges, D., & Vîţǎ, L. (2003). Separatedness in constructive topology. Documenta Mathematica, 8(1), 567–576. https://doi.org/10.4171/dm/151

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