How many Borel sets are on an infinite Polish Space?

Asked Apr 07 '15 at 15:17

Active Apr 07 '15 at 22:27

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I am learning Descriptive set theory, and my question is how many Borel sets are on an infinite Polish space?

I think they have the cardinality of the continuum, but I just do not see how to prove it.

Thanks

edited Apr 07 '15 at 22:27

Aaron Maroja

asked Apr 07 '15 at 15:17

Leonhard Leibniz

1

Poland cannot into space. (Slightly obscure reference) – Akiva Weinberger Apr 07 '15 at 15:20
@columbus8myhw: I've been to Poland once, and there were spacious areas there. – Asaf Karagila Apr 07 '15 at 15:38
possible duplicate of Cardinality of Borel sigma algebra – Asaf Karagila Apr 07 '15 at 15:38
@AsafKaragila Poland cannot into outer space. (Inb4 Mirosław Hermaszewski — He's Ukrainian.) – Akiva Weinberger Apr 07 '15 at 15:43

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