Some properties related to the Cantor-Bendixson derivative on a Polish space

28 Feb 2020 Álvarez-Samaniego Borys Merino Andrés

We show a necessary and sufficient condition for any ordinal number to be a Polish space. We also prove that for each countable Polish space, there exists a countable ordinal number that is an upper bound for the first component of the Cantor-Bendixson characteristic of every compact countable subset of the aforementioned space... (read more)

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