Ideal-convergence classes

Autor:	G.A. Prinos, Stavros Iliadis, A.C. Megaritis, Dimitis N. Georgiou
Rok vydání:	2017
Předmět:	010101 applied mathematics Combinatorics Discrete mathematics 010102 general mathematics Geometry and Topology 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Topology and its Applications. 222:217-226
ISSN:	0166-8641
Popis:	Let X be a non-empty set. We consider the class C consisting of triads ( s , x , I ) , where s = ( s d ) d ∈ D is a net in X, x ∈ X , and I is an ideal of D. We shall find several properties of C such that there exists a topology τ for X satisfying the following equivalence: ( ( s d ) d ∈ D , x , I ) ∈ C , where I is a proper D-admissible ideal on D, if and only if ( s d ) d ∈ D I -converges to x relative to the topology τ.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::67fa1864e5a25c1914cb6ee718eae1d0 https://doi.org/10.1016/j.topol.2017.02.045 Zobrazit plný text záznamu Full Text from ScienceDirect