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Genera of the Torsion-Free Polyhedra

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Ukrainian Mathematical Journal Aims and scope

We study the genera of polyhedra (finite cell complexes), i.e., the classes of polyhedra such that all their localizations are stably homotopically equivalent. More precisely, we describe the genera of the torsion-free polyhedra of dimensions not greater than 11. In particular, we find the number of stable homotopy classes in these genera.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    P. O. Kolesnyk

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  1. P. O. Kolesnyk
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 10, pp. 291–306, October, 2013.

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Kolesnyk, P.O. Genera of the Torsion-Free Polyhedra. Ukr Math J 65, 1479–1489 (2014). https://doi.org/10.1007/s11253-014-0873-3

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  • DOI: https://doi.org/10.1007/s11253-014-0873-3

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