Having cut-points is not a Whitney reversible property

TL;DR

This paper demonstrates that the property of having cut-points in a topological space is not preserved under Whitney reversible transformations, answering a previously open question in topology.

Contribution

It provides a counterexample showing that having cut-points is not a Whitney reversible property, resolving a question posed by Illanes and Nadler.

Findings

Having cut-points is not Whitney reversible.

Counterexample to Whitney reversibility of cut-points.

Answers an open question in topology.

Abstract

We show that the property of having cut-points is not a Whitney reversible property. This answers in the negative a question posed by Illanes and Nadler.