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Non-orientable Surfaces

In: A Ludic Journey into Geometric Topology

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  • Ton Marar

    (University of São Paulo at São Carlos)

Abstract

Closed non-orientable surfaces are connected sum of projective planes. Here we construct the classical models of the projective plane in three-dimensional space; namely, the sphere with cross-cap, the Steiner Roman surface and the Boy surface.

Suggested Citation

  • Ton Marar, 2022. "Non-orientable Surfaces," Springer Books, in: A Ludic Journey into Geometric Topology, chapter 0, pages 83-95, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-07442-4_6
    DOI: 10.1007/978-3-031-07442-4_6
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