FMF in IMFM, Matematična knjižnica, Ljubljana (MAKLJ)
  • Chiral extensions of toroids : tesis que para optar por el grado de Doctor en Ciencias
    Montero, Antonio
    An abstract polytope is a combinatorial object that generalises geometric structures such as convex polytopes, tilings, maps on surfaces, among others. All such structures present an inductive ... nature: a polygon can be regarded as a family of line segments glued along their endpoints; a polyhedron can be understood as a family of polygons glued along their edges; a tiling of the space can be thought as a family of polyhedra glued along their faces, an so on. This inductive nature is still present in the abstract notion of a polytope and rises the extension problem. Given an abstract polytope ▫$\mathcal{K}$▫, does there exist an abstract polytope ▫$\mathcal{P}$▫ such that all the maximal facets of ▫$\mathcal{P}$▫ are isomorphic to ▫$\mathcal{K}$▫? In this work we explore the problem when strong symmetry conditions are imposed to ▫$\mathcal{P}$▫. In particular, we show some original construction of chiral extensions in the situation when ▫$\mathcal{K}$▫ is a tilling with cubes of the ▫$n$▫-dimensional torus.
    Vrsta gradiva - disertacija ; neleposlovje za odrasle
    Založništvo in izdelava - Morelia, Michoacán : [José Antonio Montero Aguilar], 2019
    Jezik - angleški, španski
    COBISS.SI-ID - 70735619

    Povezava(-e):

    http://132.248.9.195/ptd2019/agosto/0794572/Index.html

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