Examples of k-regular maps and interpolation spaces

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Examples of k-regular maps and interpolation spaces. / Michalek, Mateusz; Miller, Chris.

In: Linear Algebra and Its Applications, Vol. 530, 01.10.2017, p. 94-108.

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Michalek, Mateusz ; Miller, Chris. / Examples of k-regular maps and interpolation spaces. In: Linear Algebra and Its Applications. 2017 ; Vol. 530. pp. 94-108.

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@article{a782d6fb19934137bf7a09788b4c579c,
title = "Examples of k-regular maps and interpolation spaces",
abstract = "A continuous map f : C-n -> C-N 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 C-3 -> C-11 and a 5-regular polynomial map C-3 -> C-14. (C) 2017 Elsevier Inc. All rights reserved.",
keywords = "Interpolation spaces, k-regular map, Areole, GORENSTEIN LOCI",
author = "Mateusz Michalek and Chris Miller",
year = "2017",
month = "10",
day = "1",
doi = "10.1016/j.laa.2017.05.003",
language = "English",
volume = "530",
pages = "94--108",
journal = "Linear Algebra and Its Applications",
issn = "0024-3795",

}

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TY - JOUR

T1 - Examples of k-regular maps and interpolation spaces

AU - Michalek, Mateusz

AU - Miller, Chris

PY - 2017/10/1

Y1 - 2017/10/1

N2 - A continuous map f : C-n -> C-N 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 C-3 -> C-11 and a 5-regular polynomial map C-3 -> C-14. (C) 2017 Elsevier Inc. All rights reserved.

AB - A continuous map f : C-n -> C-N 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 C-3 -> C-11 and a 5-regular polynomial map C-3 -> C-14. (C) 2017 Elsevier Inc. All rights reserved.

KW - Interpolation spaces

KW - k-regular map

KW - Areole

KW - GORENSTEIN LOCI

U2 - 10.1016/j.laa.2017.05.003

DO - 10.1016/j.laa.2017.05.003

M3 - Article

VL - 530

SP - 94

EP - 108

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

ER -

ID: 30273252