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Views of Real Projective 3-Space by Stable Maps into the Plane

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ABSTRACT Smooth stable maps into the plane enable us to get the graphical views of the source manifolds. In this article, we present two such maps of the real projective… Click to show full abstract

ABSTRACT Smooth stable maps into the plane enable us to get the graphical views of the source manifolds. In this article, we present two such maps of the real projective 3-space constructed from typical two projections of a tetrahedron to the plane. Tri- and quarto-sections of the real projective 3-space and Heegaard splittings of genus four and five can be obtained naturally using these maps. A question is posed on views of projective n-spaces of n ⩾ 4.

Keywords: stable maps; projective space; maps plane; real projective; views real

Journal Title: Experimental Mathematics
Year Published: 2017

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