منابع مشابه
Aronszajn Compacta ∗
We consider a class of compacta X such that the maps from X onto metric compacta define an Aronszajn tree of closed subsets of X.
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We rephrase Gromov’s definition of Markov compacta, introduce a subclass of Markov compacta defined by one building block and study cohomological dimensions of these compacta. We show that for a Markov compactum X, dimZ(p) X = dimQ X for all but finitely many primes p where Z(p) is the localization of Z at p. We construct Markov compacta of arbitrarily large dimension having dimQ X = 1 as well ...
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Let M be an elementary submodel of the universe of sets, and hX; T i a topological space in M . Let XM be X \M with topology generated by fU \M : U 2 T \Mg. Let D be the two-point discrete space. Suppose the least cardinal of a basis for XM is a member of M , and XM is an uncountable continuous image of D . Then X = XM if either 0 # doesn't exist or is less than the rst inaccessible cardinal. A...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1978
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-39-2-275-276