Indecomposable Continuum with a Strong Non-Cut Point

preprint2020arXivOpen access

Abstract

We construct an indecomposable continuum with exactly one strong non-cut point. The method is an adaptation of Bellamy [1][1]. We start with an ω1ω_1-chain of indecomposable metric continua and retractions. The inverse limit is an indecomposable continuum with exactly two composants. Our example is formed by identifying a point in each composant.

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