Abstract

AbstractA compact graph‐like space is a triple , where is a compact, metrizable space, is a closed zero‐dimensional subset, and is an index set such that . 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.

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