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First Countable Continua and Proper Forcing

Joan E. Hart·Kenneth Kunen
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Abstract

Assuming the Continuum Hypothesis, there is a compact first countable connected space of weight aleph_1 with no totally disconnected perfect subsets. Each such space, however, may be destroyed by some proper forcing order which does not add reals.

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Joan E. Hart, Kenneth Kunen. 2006-08-01. First Countable Continua and Proper Forcing. https://arxiv.org/abs/math/0608035

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