Borel's conjecture in topological groups
نویسندگان
چکیده
منابع مشابه
Borel's conjecture in topological groups
We introduce a natural generalization of Borel’s Conjecture. For each infinite cardinal number κ, let BCκ denote this generalization. Then BCא0 is equivalent to the classical Borel conjecture. Assuming the classical Borel conjecture,¬BCא1 is equivalent to the existence of a Kurepa tree of heightא1. Using the connection of BCκ with a generalization of Kurepa’s Hypothesis, we obtain the following...
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ژورنال
عنوان ژورنال: The Journal of Symbolic Logic
سال: 2013
ISSN: 0022-4812,1943-5886
DOI: 10.2178/jsl.7801110