An obstruction to embedding 2-dimensional complexes into the 3-sphere

Kazufumi Eto, Shosaku Matsuzaki, Makoto Ozawa*

*この研究の対応する著者

    研究成果: Article査読

    3 被引用数 (Scopus)

    抄録

    We consider an embedding of a 2-dimensional CW complex into the 3-sphere, and construct its dual graph. Then we obtain a homogeneous system of linear equations from the 2-dimensional CW complex in the first homology group of the complement of the dual graph. By checking that the homogeneous system of linear equations does not have an integral solution, we show that some 2-dimensional CW complexes cannot be embedded into the 3-sphere.

    本文言語English
    ページ(範囲)117-125
    ページ数9
    ジャーナルTopology and its Applications
    198
    DOI
    出版ステータスPublished - 2016 2 1

    ASJC Scopus subject areas

    • 幾何学とトポロジー

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