Fundamental groups having the whole information of spaces

Greg Conner, Katsuya Eda

    Research output: Contribution to journalArticle

    12 Citations (Scopus)

    Abstract

    We introduce a new construction of spaces from groups using homomorphic images of the fundamental group of the Hawaiian earring ℍ. According to this construction the Menger sponge, Sierpinski gasket, Sierpinski carpet and the direct product of their countable many copies are recovered from their fundamental groups.

    Original languageEnglish
    Pages (from-to)317-328
    Number of pages12
    JournalTopology and its Applications
    Volume146-147
    DOIs
    Publication statusPublished - 2005 Jan 1

    Fingerprint

    Fundamental Group
    Sierpinski Carpet
    Sierpinski Gasket
    Homomorphic
    Direct Product
    Countable

    Keywords

    • Fundamental group
    • Hawaiian earring

    ASJC Scopus subject areas

    • Geometry and Topology

    Cite this

    Fundamental groups having the whole information of spaces. / Conner, Greg; Eda, Katsuya.

    In: Topology and its Applications, Vol. 146-147, 01.01.2005, p. 317-328.

    Research output: Contribution to journalArticle

    Conner, Greg ; Eda, Katsuya. / Fundamental groups having the whole information of spaces. In: Topology and its Applications. 2005 ; Vol. 146-147. pp. 317-328.
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