Work

Countable models of one-dimensional Peano continua

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.35875

Authors: Brazas, Jeremy, Pavesic, Petar

Institutions: West Chester University, Institute of Mathematics, Physics, and Mechanics

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Javna Agencija za Raziskovalno Dejavnost RS

Awards: Selected problems in applied and computational topology, Topology and its applications

OpenAlex ID: W7224094117

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