The connected countable spaces of Bing and Ritter are topologically homogeneous

TL;DR

This paper proves that certain connected countable Hausdorff spaces constructed by Bing and Ritter are topologically homogeneous, answering a previously posed open problem.

Contribution

It establishes the topological homogeneity of Bing and Ritter's connected countable Hausdorff spaces, resolving an open question in the field.

Findings

Bing and Ritter's spaces are topologically homogeneous

The spaces are connected, countable, and Hausdorff

The result answers an open problem in topology

Abstract

Answering a problem posed by the second author on Mathoverflow, we prove that the connected countable Hausdorff spaces constructed by Bing and Ritter are topologically homogeneous.