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First Countable Continua and Proper Forcing
Published online by Cambridge University Press: 20 November 2018
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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- Copyright © Canadian Mathematical Society 2009
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