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arXiv · 2510.16580

Peano Quotients of Metric Continua

J. F Toland
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Abstract

For any compact, connected metric space $(M,d)$ the set of points where $M$ is not weakly locally connected is shown to define a partition $\sP$ of $M$ for which the corresponding quotient metric space $(\sQ, \nabla_\sQ)$ is a Peano continuum with $\sQ = \sP$.

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J. F Toland. 2025-10-18. Peano Quotients of Metric Continua. https://arxiv.org/abs/2510.16580

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