The locally connected compact metric spaces embeddable in the plane

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    We prove that a 2-connected, locally connected, compact topological space M is homeomorphic to a subset of the 2-sphere if and only if M is metrizable and contains none of the Kuratowski graphs K-5 and K-3,K-3.
    Original languageEnglish
    JournalCombinatorica
    Volume24
    Issue number4
    Pages (from-to)699-718
    ISSN0209-9683
    DOIs
    Publication statusPublished - 2004

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