p-Fréchet-Urysohn property of function spaces
نویسندگان
چکیده
منابع مشابه
On a problem of Nogura about the product of Fréchet - Urysohn 〈 α 4 〉 - spaces
Assuming Martin’s Axiom, we provide an example of two Fréchet-Urysohn 〈α4〉-spaces, whose product is a non-Fréchet-Urysohn 〈α4〉-space. This gives a consistent negative answer to a question raised by T. Nogura.
متن کاملWeakly Continuously Urysohn Spaces
We study weakly continuously Urysohn spaces, which were introduced in [Z]. We show that every weakly continuously Urysohn w∆-space has a base of countable order, that separable weakly continuously Urysohn spaces are submetrizable, hence continuously Urysohn, that monontonically normal weakly continuously Urysohn spaces are hereditarily paracompact, and that no linear extension of any uncountabl...
متن کاملCentral subsets of Urysohn universal spaces
A subset A of a metric space (X, d) is central iff for every Katětov map f : X → R upper bounded by the diameter of X and any finite subset B of X there is x ∈ X such that f(a) = d(x, a) for each a ∈ A ∪ B. Central subsets of the Urysohn universal space U (see introduction) are studied. It is proved that a metric space X is isometrically embeddable into U as a central set iff X has the collinea...
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chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولp-spaces and artin-rees property
in this article, we study the artin-rees property in c(x), in the rings of fractions of c(x) and in the factor rings of c(x) . we show that c(x)/(f) is an artin-rees ring if and only if z(f) is an open p-space. a necessary and sufficient condition for the local rings of c(x) to be artin-rees rings is that each prime ideal in c(x) becomes minimal and it turns out that every local ring ...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1994
ISSN: 0166-8641
DOI: 10.1016/0166-8641(94)90129-5