A universal continuum of weight $\aleph $
نویسندگان
چکیده
منابع مشابه
A Universal Continuum of Weight ℵ
We prove that every continuum of weight א1 is a continuous image of the Čech-Stone-remainder R of the real line. It follows that under CH the remainder of the half line [0,∞) is universal among the continua of weight c. We complement this result by showing that 1) under MA every continuum of weight less than c is a continuous image of R, 2) in the Cohen model the long segment of length ω2 + 1 i...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2000
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-00-02601-5