Dominated Ideals and Baire Ideals in Complete Domains
Year: 2024
Type: article
Abstract: We consider an operator Gi,I generated by a given interior operator i and an ideal I. Among the properties of the operator Gi,I, two properties denoted by Pi and Qi are remarkable. The ideals with the property Pi are called dominated ideals, and the ideals with the property Qi are called Baire ideals. We present methods of constructing dominated and Baire ideals, providing several examples and (topological) results in the framework of domain theory.
Source: Mathematics
DOI: 10.3390/math12213348
Authors: Dănuţ Rusu, Gabriel Ciobanu
Institutions: Alexandru Ioan Cuza University, Romanian Academy
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,955
OpenAlex ID: W4403763695