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- Title
Buchstaber invariants of universal complexes.
- Authors
Sun, Yi
- Abstract
Davis and Januszkiewicz introduced (real and complex) universal complexes to give an equivalent definition of characteristic maps of simple polytopes, which now can be seen as 'colorings'. The author derives an equivalent definition of Buchstaber invariants of a simplicial complex K, then interprets the difference of the real and complex Buchstaber invariants of K as the obstruction to liftings of nondegenerate simplicial maps from K to the real universal complex or the complex universal complex. It was proved by Ayzenberg that real universal complexes can not be nondegenerately mapped into complex universal complexes when dimension is 3. This paper presents that there is a nondegenerate map from 3-dimensional real universal complex to 4-dimensional complex universal complex.
- Subjects
MATHEMATICS theorems; GEOMETRIC vertices; NUMERICAL analysis; LOGICAL prediction; CONVEX polytopes
- Publication
Chinese Annals of Mathematics, 2017, Vol 38, Issue 6, p1335
- ISSN
0252-9599
- Publication type
Article
- DOI
10.1007/s11401-017-1041-5