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On transformations of special spines and special polyhedra

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Abstract

Special spines of 3-manifolds and special polyhedra are examined. Special transformations of spines and polyhedra are considered. Two triangulations of the same 3-manifold are known to have a common stellar subdivision, and two Heegaard splittings of the same 3-manifold are stably equivalent. We prove similar assertions for spines and polyhedra. Spines with the structure of a branched surface are studied.

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Authors and Affiliations

  1. Chelyabinsk State University, USSR

    A. Yu. Makovetskii

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  1. A. Yu. Makovetskii
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Translated fromMatematicheskie Zametki, Vol. 65, No. 3, pp. 354–361, March, 1999.

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Makovetskii, A.Y. On transformations of special spines and special polyhedra. Math Notes 65, 295–301 (1999). https://doi.org/10.1007/BF02675070

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  • DOI: https://doi.org/10.1007/BF02675070

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