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On one combinatorial lemma

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Abstract

We study n-dimensional cubical pseudomanifolds and their cellular mappings. In particular, we consider a discrete n-cube and all of its (n − 1)-faces. Then, there exist either one or two or four faces of the cube each of which is mapped onto one face.

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References

  1. Yu. A. Shashkin, Proc. Steklov Inst. Math., Suppl. 2, S208 (2001).

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Division of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia

    Yu. A. Shashkin

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  1. Yu. A. Shashkin
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Correspondence to Yu. A. Shashkin.

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Original Russian Text © Yu.A. Shashkin, 2010, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Vol. 16, No. 1.

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Shashkin, Y.A. On one combinatorial lemma. Proc. Steklov Inst. Math. 272 (Suppl 1), 186–196 (2011). https://doi.org/10.1134/S0081543811020143

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  • DOI: https://doi.org/10.1134/S0081543811020143

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