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arxiv: math/0408039 · v1 · submitted 2004-08-03 · 🧮 math.GN · math.LO

Compact Scattered Spaces in Forcing Extensions

classification 🧮 math.GN math.LO
keywords alephcompactmodelsscatteredspacescardinalconsidercontinuum
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We consider the cardinal sequences of compact scattered spaces in models where CH is false. We describe a number of models where the continuum is aleph_2 in which no such space can have aleph_2 countable levels.

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