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Countable models of one-dimensional Peano continua

arXiv Mathematics · WORLD · Mathematics · 10/28/2026, 12:00:00 AM

arXiv:2610.35875v1 Announce Type: new Abstract: In this paper, we prove that a one-dimensional Peano continuum $X$ admits a weak homotopy equivalence $X\to C$ to a countable space $C$ if and only if the wild set $\mathbf{w}(X)$ is countable.

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