A first-countable non-remainder of H

TL;DR

This paper presents a consistent example of a first-countable continuum that is not a remainder of the real line, challenging previous assumptions about the structure of such spaces.

Contribution

The authors construct the first known example of a first-countable continuum that is not a remainder of the real line, providing new insights into continuum theory.

Findings

Existence of a first-countable continuum not homeomorphic to any real line remainder

Challenges previous beliefs about remainders of the real line

Introduces a consistent example in continuum theory

Abstract

We give a (consistent) example of a first-countable continuum that is not a remainder of the real line.