Maps from the minimal grope to an arbitrary grope

Matija Cencelj, Katsuya Eda, Aleš Vavpetič

    研究成果: Article

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    We consider open infinite gropes and prove that every continuous map from the minimal grope to another grope is nulhomotopic unless the other grope has a «branch» which is a copy of the minimal grope. Since every grope is the classifying space of its fundamental group, the problem is translated to group theory and a suitable block cancellation of words is used to obtain the result.

    元の言語English
    ページ(範囲)503-519
    ページ数17
    ジャーナルInternational Journal of Algebra and Computation
    23
    発行部数3
    DOI
    出版物ステータスPublished - 2013 5

    ASJC Scopus subject areas

    • Mathematics(all)

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