Graph‐like compacta: Characterizations and Eulerian loops

Autor: Paul Gartside, Max Pitz, Benjamin Espinoza
Rok vydání: 2020
Předmět:
Zdroj: Journal of Graph Theory. 95:209-239
ISSN: 1097-0118
0364-9024
DOI: 10.1002/jgt.22558
Popis: A compact graph-like space is a triple $(X,V,E)$ where $X$ is a compact, metrizable space, $V \subseteq X$ is a closed zero-dimensional subset, and $E$ is an index set such that $X \setminus V \cong E \times (0,1)$. New characterizations of compact graph-like spaces are given, connecting them to certain classes of continua, and to standard subspaces of Freudenthal compactifications of locally finite graphs. These are applied to characterize Eulerian graph-like compacta.
Databáze: OpenAIRE
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