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Hereditary indecomposability and the Intermediate Value Theorem

Alan Dow·Klaas Pieter Hart
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Abstract

We show that hereditarily indecomposable spaces can be characterized by a special instance of the Intermediate Value Theorem in their rings of continuous functions.

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Alan Dow, Klaas Pieter Hart. 2000-02-16. Hereditary indecomposability and the Intermediate Value Theorem. https://arxiv.org/abs/math/0002129

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