Relations that preserve compact filters

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

💡 Research Summary

The paper “Relations that preserve compact filters” investigates a unifying framework for a wide variety of topological maps—both single‑valued and multi‑valued—by focusing on the preservation of compact filters. After recalling the classical definition of a filter and the notion of compactness in terms of filter convergence, the authors introduce the concept of a “compact‑filter‑preserving relation” (RPCF). A relation R ⊆ X × Y is called RPCF if for every compact filter ℱ on X the image filter R