Weak continuum hypothesis
id:
weak-continuum-hypothesis-307-5777384
title:
Weak continuum hypothesis
text:
The term weak continuum hypothesis can be used to refer to the hypothesis that 2 ℵ 0 < 2 ℵ 1 , which is the negation of the second continuum hypothesis. It is equivalent to a weak form of ◊ on ℵ 1 . F. Burton Jones proved that if it is true, then every separable normal Moore space is metrizable. Weak continuum hypothesis may also refer to the assertion that every uncountable set of real numbers can be placed in bijective correspondence with the set of all reals. This second assertion was Cantor'
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Weak_continuum_hypothesis
date created:
date modified:
2024-01-17T21:55:28Z
main entity:
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13
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