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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017 Number 5, Pages 61–65 (Mi vmumm99)

This article is cited in 1 paper

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Immersions of graphs into projective plane

M. A. Ivashkovsky

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: Immersions of graphs to the projective plane are studied. A classification of immersions up to regular homotopy is obtained. A complete invariant of immersions up to regular homotopy is constructed. The case of graphs immersions to any compact surface different from the projective plane was known.

Key words: regular immersion of a graph, regular homotopy of immersions, Reidemeister moves, self-intersection number.

UDC: 515.162.6

Received: 01.03.2017


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2017, 72:5, 217–220

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