Classification of selectors for sequences of dense sets of Cp(X)

TL;DR

This paper characterizes selectors for sequences of dense sets in the function space Cp(X) using selection principles related to the underlying Tychonoff space X.

Contribution

It introduces new criteria linking selectors in Cp(X) to the selection principles of the base space X, advancing understanding of dense set sequences.

Findings

Characterization of selectors via selection principles

Criteria connecting Cp(X) and space X

Enhanced understanding of dense set sequences

Abstract

We give the characteristics of selectors for sequences of dense sets of Cp(X) through the selection principles of a Tychonoff space X.