Cardinal sequences and Cohen real extensions
نویسندگان
چکیده
منابع مشابه
Cardinal Sequences and Cohen Real Extensions
We show that if we add any number of Cohen reals to the ground model then, in the generic extension, a locally compact scattered space has at most (2 ℵ0) V many levels of size ω. We also give a complete ZF C characterization of the cardinal sequences of regular scattered spaces. Although the classes of the regular and of the 0-dimensional scattered spaces are different, we prove that they have ...
متن کامل. L O ] 1 9 A pr 2 00 4 CARDINAL SEQUENCES AND COHEN REAL EXTENSIONS
We show that if we add any number of Cohen reals to the ground model then, in the generic extension, a locally compact scattered space has at most (2 ℵ0) V many levels of size ω. We also give a complete ZF C characterization of the cardinal sequences of regular scattered spaces. Although the classes of the regular and of the 0-dimensional scattered spaces are different, we prove that they have ...
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Article history: Received 7 November 2013 Received in revised form 24 June 2014 Accepted 28 June 2014 Available online xxxx MSC: 03E35 03E75
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2004
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm181-1-3