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This article is available for purchase or by subscription. See below.
Abstract
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We consider the classical Borsuk problem on covering a body in
by
parts of smaller diameter, and related problems. The aim of this paper is to prove
some estimates depending on circumradius of a body.
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Keywords
Borsuk's problem, Boltyanski's illumination problem,
illumination, illumination number, circumcenter,
circumradius, constant width, covering of a body by its
positive homothetic copies, combinatorial geometry
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Mathematical Subject Classification
Primary: 51-XX, 52-XX
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Milestones
Received: 23 March 2023
Revised: 7 May 2023
Accepted: 22 May 2023
Published: 23 September 2023
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| © 2023 The Author(s), under
exclusive license to MSP (Mathematical Sciences
Publishers). |
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