Discrete topological complexity
We introduce a notion of discrete topological complexity in the setting of simplicial complexes, using only the combinatorial structure of the complex and replacing the concept of homotopy by that of contiguous simplicial maps. We study the links of this new invariant with those of simplicial catego...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/183509 |
| Acceso en línea: | https://hdl.handle.net/11441/183509 https://doi.org/10.1090/proc/14122 |
| Access Level: | acceso abierto |
| Palabra clave: | Infinite simplicial complex Critical simplex Discrete gradient field Gradient path |
| Sumario: | We introduce a notion of discrete topological complexity in the setting of simplicial complexes, using only the combinatorial structure of the complex and replacing the concept of homotopy by that of contiguous simplicial maps. We study the links of this new invariant with those of simplicial category and topological complexity. |
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