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Title: k-Regular maps into Euclidean spaces and the Borsuk-Boltyanskii problem

Journal Article · · Sbornik. Mathematics
 [1]
  1. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)

The Borsuk-Boltyanskii problem is solved for odd k, that is, the minimum dimension of a Euclidean space is determined into which any n-dimensional polyhedron (compactum) can be k-regularly embedded. A new lower bound is obtained for even k.

OSTI ID:
21205664
Journal Information:
Sbornik. Mathematics, Vol. 193, Issue 1; Other Information: DOI: 10.1070/SM2002v193n01ABEH000620; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English

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