A zero-dimensional F-space that is not strongly zero-dimensional

TL;DR

This paper provides an example of a zero-dimensional F-space that does not possess strong zero-dimensionality, highlighting a nuanced distinction in topological space classifications.

Contribution

The paper introduces a specific example of a zero-dimensional F-space that is not strongly zero-dimensional, clarifying the relationship between these properties.

Findings

Existence of a zero-dimensional F-space that is not strongly zero-dimensional

Clarification of the distinction between zero-dimensional and strongly zero-dimensional spaces

Contribution to the understanding of topological space classifications

Abstract

We present an example of a zero-dimensional $F$-space that is not strongly zero-dimensional.