Effective topological complexity of spaces with symmetries
Blaszczyk, Zbigniew (Adam Mickiewicz University (Poznan, Polònia). Faculty of Mathematics and Computer Science)
Kaluba, Marek (Adam Mickiewicz University (Poznan, Polònia). Faculty of Mathematics and Computer Science)

Date:	2018
Abstract:	We introduce a version of Farber's topological complexity suitable for investigating mechanical systems whose configuration spaces exhibit symmetries. Our invariant has vastly different properties to the previous approaches of Colman-Grant, Dranishnikov, and Lubawski-Marzantowicz. In particular, it is bounded from above by Farber's topological complexity.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Equivariant topological complexity ; Motion planning problem
Published in:	Publicacions matemàtiques, Vol. 62 Núm. 1 (2018) , p. 55-74 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/329927
DOI: 10.5565/PUBLMAT6211803

20 p, 438.4 KB

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