Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772965 | Linear Algebra and its Applications | 2017 | 15 Pages |
Abstract
A continuous map f:CnâCN is k-regular if the image of any k distinct points spans a k-dimensional subspace. It is an important problem in topology and interpolation theory, going back to Borsuk and Chebyshev, to construct k-regular maps with small N, and only a few nontrivial examples are known so far. Applying tools from algebraic geometry we construct a 4-regular polynomial map C3âC11 and a 5-regular polynomial map C3âC14.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mateusz MichaÅek, Chris Miller,