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    The first homology of the Klein bottle

    E-II4JY

    Area
    Topology
    Topics
    Homology of Surfaces
    Status
    draft

    If \(K\) is the Klein bottle, calculate \(H_1(K)\) directly.

    Solution

    1. \(A\) sine curve separates.

    Jordan.

    2. Q.E.D.

    1.