Work

On Topologies Induced by Ideals, Primals, Filters and Grills

Year: 2024

Type: article

Abstract: In this paper the one-to-one correspondences and equivalences between ideals, primals, filters and grills are introduced. It is shown the local functions and the topological spaces induced by them are the same. From this point of view, the topological properties with respect to one topology can be derived from topological properties valid in the corresponding topology.

Source: Axioms

DOI: 10.3390/axioms13100698

Author: Milan Matejdes

Institution: University of Trnava

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funder: Agentúra na Podporu Výskumu a Vývoja