Topological Complexity, Robotics and Social Choice

Instantanés de recherche mathématique à Oberwolfach

Topological Complexity, Robotics and Social Choice

Topological complexity is a number that measures how hard it is to plan motions (for robots, say) in terms of a particular space associated to the kind of motion to be planned. This is a burgeoning subject within the wider area of Applied Algebraic Topology. Surprisingly, the same mathematics gives insight into the question of creating social choice functions, which may be viewed as algorithms for making decisions by artificial intelligences.

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Sujet mathématique

Géométrie et Topologie

Liens avec d'autres domaines

Ingénierie et technologie
Humanités et sciences sociales

Auteur(s)

Greg Lupton, John Oprea, José Gabriel Carrasquel Vera

Licence

DOI

10.14760/SNAP-2018-005-EN

Télécharger PDF

snapshots-2018-005.pdf

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snapshots: overview

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Sujet mathématique

Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique

Liens avec d'autres domaines

Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques

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