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Peano Quotients of Metric Continua

2025/10/18 by Joseph Toland, Toland, J. F
Mathematics · #Advanced Topology and Set Theory #Advanced Banach Space Theory #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2510.16580

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, ∇_\sQ) is a Peano continuum with \sQ = \sP.

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