Relations that preserve compact filters

TL;DR

This paper explores how various classes of maps can be characterized by their ability to preserve specific types of compact filters, providing insights into their structural properties.

Contribution

It introduces a framework for understanding maps through the preservation of compact filters, offering a new perspective on their classification.

Findings

Characterization of maps via compact filter preservation

Identification of classes of maps with filter-preserving properties

Theoretical insights into the structure of filter-preserving maps

Abstract

Many classes of maps are characterized as (possibly multi-valued) maps preserving particular types of compact filters.