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Sections of simplices

We show that for ⌊d/2⌋≤k≤d, the relative interior of every k-face of a d-simplex Δd can be intersected by a 2(d−k)-dimensional affine flat. Bezdek, Bisztriczky, and Connelly's results [2] show that the condition k≥⌊d/2⌋ above cannot be dropped and hence raise the question of determining, for all 0≤k...

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Détails bibliographiques
Auteur principal: Nagabhushana Prabhu
Format: Artigo
Langue:Inglês
Publié: Wiley 1999-01-01
Collection:International Journal of Mathematics and Mathematical Sciences
Sujets:
Accès en ligne:http://dx.doi.org/10.1155/S0161171299224015
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