Some observations on the Baireness of C_k(X) for a locally compact space X

TL;DR

This paper investigates the conditions under which function spaces over locally compact spaces are Baire, focusing on the Moving Off Property and its implications for Baire category in these spaces.

Contribution

It provides new consistency results linking the Moving Off Property to the Baire status of function spaces over locally compact spaces.

Findings

Established conditions for the Moving Off Property in locally compact spaces.

Connected the Moving Off Property to the Baire property of function spaces.

Presented new consistency results regarding Baire category in these contexts.

Abstract

We prove some consistency results concerning the Moving Off Property for locally compact spaces and thus the question of whether their function spaces are Baire.