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    Classify a surface obtained from a labeled hexagon

    P-WESTOP04-05

    Area
    Topology
    Seen at
    WESLEYAN
    Years
    2004
    Status
    draft
    Contents
    1. List the compact connected surfaces up to homeomorphism.
    2. Form a surface from a hexagon by identifying its boundary edges in pairs according to the cyclic word recovered as \[ abac a^{-1}c^{-1}, \] where the source extraction places an otherwise unexplained dot over the \(b\). Identify the resulting compact connected surface and justify the answer.

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