منابع مشابه
Minimal sequential Hausdorff spaces
A sequential space (X,T) is called minimal sequential if no sequential topology on X is strictly weaker than T . This paper begins the study of minimal sequential Hausdorff spaces. Characterizations ofminimal sequential Hausdorff spaces are obtained using filter bases, sequences, and functions satisfying certain graph conditions. Relationships between this class of spaces and other classes of s...
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We introduce the concept of a subordination, which is dual to the well-known concept of a precontact on a Boolean algebra. We develop a full categorical duality between Boolean algebras with a subordination and Stone spaces with a closed relation, thus generalizing the results of [14]. We introduce the concept of an irreducible equivalence relation, and that of a Gleason space, which is a pair ...
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We investigate two notions for the intensity of attractors for closed relations on compact Hausdorff spaces. Properties of attractors and corresponding attractor blocks are studied, and we show that certain systems of neighborhoods of relations can be used to describe how strongly an attractor attracts its surroundings. AMS Subject Classifications: 37B35.
متن کاملcompactifications and function spaces on weighted semigruops
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 اولBoundedness of Multidimensional Hausdorff Operators on L and H Spaces
For a wide family of multivariate Hausdorff operators, a new stronger condition for the boundedness of an operator from this family on the real Hardy space H by means of atomic decomposition. 2000 Mathematics Subject Classification. Primary 47B38, 42B10; Secondary 46E30.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1969
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1969-0238268-4