Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/28644
Title: | An exploration of locally spherical regular hypertope |
Author: | Fernandes, Maria Elisa Leemans, Dimitri Weiss, Asia Ivić |
Keywords: | Regularity Thin geometries Hypermaps Abstract polytopes |
Issue Date: | 3-Jun-2020 |
Publisher: | Springer Nature |
Abstract: | 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 |
Publisher Version: | http://link.springer.com/article/10.1007/s00454-020-00209-9 |
Appears in Collections: | CIDMA - Artigos DMat - Artigos OGTCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
FLW2020.pdf | 383.85 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.