Spaces having no large dyadic subspace
نویسندگان
چکیده
منابع مشابه
Topology Proceedings SPACES WITH NO INFINITE DISCRETE SUBSPACE
We show that the spaces with no infinite discrete subspace are exactly those in which every closed set is a finite union of irreducibles. Call them FAC spaces: this generalizes a theorem by Erdős and Tarski (1943), according to which a preordered set has no infinite antichain—the finite antichain, or FAC, property— if and only if all its downwards-closed subsets are finite unions of ideals. All...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1970
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700041885