Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/28644
Título: | An exploration of locally spherical regular hypertope |
Autor: | Fernandes, Maria Elisa Leemans, Dimitri Weiss, Asia Ivić |
Palavras-chave: | Regularity Thin geometries Hypermaps Abstract polytopes |
Data: | 3-Jun-2020 |
Editora: | Springer Nature |
Resumo: | Hypertope is a generalization of the concept of polytope, which in turn generalizes the concept of a map and hypermap, to higher rank objects. Regular hypertopes with spherical residues, which we call regular locally spherical hypertopes, must be either of spherical, euclidean, or hyperbolic type. That is, the type-preserving automorphism group of a locally spherical regular hypertope is a quotient of a finite irreducible, infinite irreducible, or compact hyperbolic Coxeter group. We classify the locally spherical regular hypertopes of spherical and euclidean type and investigate finite hypertopes of hyperbolic type, giving new examples and summarizing some known results. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/28644 |
DOI: | 10.1007/s00454-020-00209-9 |
ISSN: | 0179-5376 |
Versão do Editor: | http://link.springer.com/article/10.1007/s00454-020-00209-9 |
Aparece nas coleções: | CIDMA - Artigos DMat - Artigos OGTCG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
FLW2020.pdf | 383.85 kB | Adobe PDF | Ver/Abrir |
Todos os registos no repositório estão protegidos por leis de copyright, com todos os direitos reservados.