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Abstract
We consider the classical Borsuk problem on covering a body in
ℝ n
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
Mathematical Subject Classification
Primary: 51-XX, 52-XX
Milestones
Received: 23 March 2023
Revised: 7 May 2023
Accepted: 22 May 2023
Published: 23 September 2023
© 2023 The Author(s), under
exclusive license to MSP (Mathematical Sciences
Publishers).
