Discrete topological complexity
| Autor: | E. Minuz, Enrique Macías-Virgós, Desamparados Fernández-Ternero, J.A. Vilches |
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| Rok vydání: | 2018 |
| Předmět: |
Topological complexity
Pure mathematics 55R80 55U10 55M30 Applied Mathematics General Mathematics Homotopy 010102 general mathematics Structure (category theory) 0102 computer and information sciences Mathematics::Algebraic Topology 01 natural sciences 010201 computation theory & mathematics Mathematics::Category Theory FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology 0101 mathematics Invariant (mathematics) Mathematics |
| Zdroj: | Fernández-Ternero, D, Macías-Virgós, E, Minuz, E & Vilches, J A 2018, ' Discrete topological complexity ', Proceedings of the American Mathematical Society, vol. 146, no. 10, pp. 4535-4548 . https://doi.org/10.1090/proc/14122 |
| ISSN: | 1088-6826 0002-9939 |
| DOI: | 10.1090/proc/14122 |
| Popis: | We introduce a notion of discrete topological complexity in the setting of simplicial complexes, using only the combinatorial structure of the complex by means of the concept of contiguous simplicial maps. We study the links of this new invariant with those of simplicial and topological LS-category. 12 pages, 2 figures |
| Databáze: | OpenAIRE |
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