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...

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2018-10, Vol.146 (10), p.4535-4548
Main Authors: FERNÁNDEZ-TERNERO, D., MACĺAS-VIRGÓS, E., MINUZ, E., VILCHES, J. A.
Format: Article
Language:English
Subjects:
G. TOPOLOGY
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Summary: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.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc/14122