Projective equivalences of K-Neighbourly Polytopes
We prove the following theorem, which is related to McMullen’s problem on projective transformations of polytopes; let 2 ≤ k ≤ ⌊ d 2 ⌋ and (d, k) be the largest number such that any set of (d, k) points lying in general position in Rd can be mapped by a permissible projective transformation onto the...
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2015 |
| País: | México |
| Recursos: | Centro de Investigación e Innovación en Tecnologías de la Información y Comunicación |
| Repositório: | Repositorio Institucional de INFOTEC |
| Idioma: | inglês |
| OAI Identifier: | oai:infotec.repositorioinstitucional.mx:1027/209 |
| Acesso em linha: | http://infotec.repositorioinstitucional.mx/jspui/handle/1027/209 |
| Access Level: | Acceso aberto |
| Palavra-chave: | info:eu-repo/classification/LEM/Proyecciones info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/12 info:eu-repo/classification/cti/1299 info:eu-repo/classification/cti/129999 |
| Resumo: | We prove the following theorem, which is related to McMullen’s problem on projective transformations of polytopes; let 2 ≤ k ≤ ⌊ d 2 ⌋ and (d, k) be the largest number such that any set of (d, k) points lying in general position in Rd can be mapped by a permissible projective transformation onto the vertices of a k-neighborly polytope, then d + d k + 1 ≤ (d, k) < 2d − k + 1. |
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