Results 11 to 20 of about 43,818 (298)
Sequential coreflections of stratifiable spaces [PDF]
Proceedings of the American Mathematical Society, 1984 We prove that the sequential coreflection of a stratifiable space which is the union of countably many closed k k -spaces ...
L. Foged
openaire +3 more sources
Products of sequential spaces [PDF]
Proceedings of the American Mathematical Society, 1976 S. P. Franklin introduced the notion of a sequential space and characterized such spaces as being precisely the quotient images of metric spaces. In this paper we investigate a necessary and sufficient condition for the product of a first countable space with a sequential space to be sequential, and we consider the property ...
Yoshio Tanaka
openaire +2 more sources
An Ascoli theorem for sequential spaces
International Journal of Mathematics and Mathematical Sciences, 2001 Ascoli theorems characterize precompact subsets of the set of morphisms between two objects of a category in terms of equicontinuity and pointwise precompactness, with appropriate definitions of precompactness and equicontinuity in the studied ...
Gert Sonck
doaj +2 more sources
Sequential continuity in dyadic spaces [PDF]
Proceedings of the American Mathematical Society, 1977 A characterization of metrizability in dyadic spaces in terms of sequential continuity is given. Also, it is shown by examples that invariance under projections (composition) cannot be eliminated from the hypotheses of theorems of Mazur and Engelking concerning the continuity of sequentially continuous functions.
R. H. Marty
openaire +2 more sources
Locally Convex Spaces with Sequential Dunford–Pettis Type Properties
AxiomsLet p,q,q′∈[1,∞], q′≤q. Several new characterizations of locally convex spaces with the sequential Dunford–Pettis property of order (p,q) are given.
Saak Gabriyelyan
doaj +2 more sources
Two preservation results for countable products of sequential spaces [PDF]
, 2007 We prove two results for the sequential topology on countable products of sequential topological spaces. First we show that a countable product of topological quotients yields a quotient map between the product spaces.
Simpson, Alexander, Schröder, Matthias
core +1 more source
International Journal of Mathematics and Mathematical Sciences, 1980 A study is made of the properties on X which characterize when Cπ(X) is a k-space, where Cπ(X) is the space of real-valued continuous functions on X having the topology of pointwise convergence.
R. A. McCoy
doaj +1 more source
Data Mining by Using Rule of Space Syntax Theory [PDF]
مجلة التربية والعلم, 2019 Data mining is the technique, methods and means of extracting information from data and exploiting it to solve problems and make appropriate decisions using computer applications, which is a smart modern technology.
Shahla Kharofa
doaj +1 more source
Sequential Modeling in Vector Space. [PDF]
, 2021 In Information Retrieval and Natural Language Processing, representation of discrete objects, e.g., words, usually relies on embedding in vector space; this representation typically ignores sequential information. One instance of such sequential information is temporal evolution.
Wang B., Di Buccio E., Melucci M.
openaire +1 more source
Advances in Mathematical Physics, 2020 In this paper, the concept of sequential p-metric spaces has been introduced as a generalization of usual metric spaces, b-metric spaces and specially of p-metric spaces. Several topological properties of such spaces have been discussed here.
Kushal Roy +3 more
doaj +1 more source