منابع مشابه
THE URYSOHN AXIOM AND THE COMPLETELY HAUSDORFF AXIOM IN L-TOPOLOGICAL SPACES
In this paper, the Urysohn and completely Hausdorff axioms in general topology are generalized to L-topological spaces so as to be compatible with pointwise metrics. Some properties and characterizations are also derived
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We prove the following Main Theorem: ZF + AD + V L(R) =>DC. As a corollary we have that Con(ZF + AD) Con(ZF + AD + DC). Combined with the result of Woodin that Con(ZF + AD) Con(ZF + AD + AC') it follows that DC (as well as AC') is independent relative to ZF + AD. It is finally shown (jointly with H. Woodin) that ZF + AD + DCR, where DCR is DC restricted to reals, implies the consistency of ZF +...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1966
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1966-0189018-4