منابع مشابه
Semi - aposyndetic continuum X is metrizable if and only if it
The main purpose of this paper is to prove the metrizability of semi-aposyndetic continuum X which admits a Whitney map for C(X).
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CWH,CWN stand for collectionwise Hausdorff and collectionwise normal respectively. We analyze the statement “there is a λ− CWH not CWH first countable (Hausdorff topological) space”. We prove the existence of such a space under various conditions, show its equivalence to: there is a λ-CWN not CWN first countable space and give an equivalent set theoretic statement; the nicest version we can obt...
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In this paper, we give some mapping theorems on g-metrizable spaces in terms of some sequence-covering mappings, σ-mappings and π-mappings.
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We construct a completely regular ordered space (X, T ,≤) such that X is an I-space, the topology T of X is metrizable and the bitopological space (X, T ♯,T ♭) is pairwise regular, but not pairwise completely regular. (Here T ♯ denotes the upper topology and T ♭ the lower topology of X.)
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1995
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1995-1260177-3