Cyclic monotonically normal spaces from Cantor sets
نویسندگان
چکیده
منابع مشابه
Kat Etov's Lemma and Monotonically Normal Spaces
An interpolation lemma due to Kat etov is simpliied in order to make it more general and easier to use. Several results are established to illustrate applications of this lemma, including a characterization of monotonically normal spaces and a topology-free insertion theorem. We also prove that a topological space has an order-preserving insertion if and only if it is dominated by a collection ...
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متن کاملCantor sets
This paper deals with questions of how many compact subsets of certain kinds it takes to cover the space ω of irrationals, or certain of its subspaces. In particular, given f ∈ (ω\{0}), we consider compact sets of the form Q i∈ω Bi, where |Bi| = f(i) for all, or for infinitely many, i. We also consider “n-splitting” compact sets, i.e., compact sets K such that for any f ∈ K and i ∈ ω, |{g(i) : ...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1996
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(96)00062-4