منابع مشابه
Paracompactness and Product Spaces
A topological space is called paracompact (see [2 J) if (i) it is a Hausdorff space (satisfying the T2 axiom of [l]), and (ii) every open covering of it can be refined by one which is "locally finite" ( = neighbourhood-finite; that is, every point of the space has a neighbourhood meeting only a finite number of sets of the refining covering). J. Dieudonné has proved [2, Theorem 4] that every se...
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Through the study of frame congruences, new characterizations of the paracompactness of frames are obtained.
متن کاملParacompactness and an Example Due To
At the summer meeting (1955) of the American Mathematical Society, Mary E. Rudin presented an example of a separable normal nonparacompact space. It is the purpose of this note to point out that an example [3] due to F. B. Jones (1937) with an obvious definition of open sets is also such an example. Jones' paper was published before the notion of paracompactness appeared in the literature. The ...
متن کاملWeak Amenability and 2-weak Amenability of Beurling Algebras
Let Lω(G) be a Beurling algebra on a locally compact abelian group G. We look for general conditions on the weight which allows the vanishing of continuous derivations of Lω(G). This leads us to introducing vector-valued Beurling algebras and considering the translation of operators on them. This is then used to connect the augmentation ideal to the behavior of derivation space. We apply these ...
متن کاملA Note on Raghavan-reilly’s Pairwise Paracompactness
The bitopological unstability of RR-pairwise paracompactness in presence of pairwise Hausdorff separation axiom is caused by a bitopological property which is much weaker and more local than RR-pairwise paracompactness. We slightly generalize some Michael’s constructions and characterizeRR-pairwise paracompactness in terms of bitopological θ-regularity, and some other weaker modifications of pa...
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ژورنال
عنوان ژورنال: Journal of Topology and Analysis
سال: 2014
ISSN: 1793-5253,1793-7167
DOI: 10.1142/s1793525314500034