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Hypersurfaces

In: A Ludic Journey into Geometric Topology

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  • Ton Marar

    (University of São Paulo at São Carlos)

Abstract

Models of three-dimensional objects with boundary abound in our three-dimensional physical world. The boundaries of these objects are surfaces, two-dimensional objects that we can see or touch. For three-dimensional objects finite in size and without boundary, called hypersurfaces here, we have no physical models, therefore they are much harder to represent. However, by analogy with the modeling of lower-dimensional objects, we can expand our understanding of some hypersurfaces.

Suggested Citation

  • Ton Marar, 2022. "Hypersurfaces," Springer Books, in: A Ludic Journey into Geometric Topology, chapter 0, pages 97-115, Springer.
  • Handle: RePEc:spr:sprchp:978-3-031-07442-4_7
    DOI: 10.1007/978-3-031-07442-4_7
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