Matches in SemOpenAlex for { <https://semopenalex.org/work/W65537315> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W65537315 abstract "Inspired from research subjects in sub-riemannian geometry and metric geometry, we propose uniform idempotent right quasigroups and emergent algebras as an alternative to differentiable algebras. Idempotent right quasigroups (irqs) are related with racks and quandles, which appear in knot theory (the axioms of a irq correspond to the first two Reidemeister moves). To any uniform idempotent right quasigroup can be associated an approximate differential calculus, with Pansu differential calculus in sub-riemannian geometry as an example. An emergent algebra A over a uniform idempotent right quasigroup X is a collection of operations such that each operation emerges from X, meaning that it can be realized as a combination of the operations of the uniform irq X, possibly by taking limits which are uniform with respect to a set of parameters. Two applications are considered: we prove a bijection between contractible groups and distributive uniform irqs (uniform quandles) and that some symmetric spaces in the sense of Loos may be seen as uniform quasigroups with a distributivity property." @default.
- W65537315 created "2016-06-24" @default.
- W65537315 creator A5055731232 @default.
- W65537315 date "2009-07-09" @default.
- W65537315 modified "2023-09-27" @default.
- W65537315 title "Emergent algebras as generalizations of differentiable algebras, with applications" @default.
- W65537315 cites W1526278895 @default.
- W65537315 cites W1612667940 @default.
- W65537315 cites W1642518199 @default.
- W65537315 cites W1972757326 @default.
- W65537315 cites W1988709037 @default.
- W65537315 cites W2005873971 @default.
- W65537315 cites W2021268474 @default.
- W65537315 cites W2032868343 @default.
- W65537315 cites W2063063355 @default.
- W65537315 cites W2077028274 @default.
- W65537315 cites W2113182425 @default.
- W65537315 cites W2314781788 @default.
- W65537315 cites W2962826746 @default.
- W65537315 cites W83078932 @default.
- W65537315 hasPublicationYear "2009" @default.
- W65537315 type Work @default.
- W65537315 sameAs 65537315 @default.
- W65537315 citedByCount "7" @default.
- W65537315 crossrefType "posted-content" @default.
- W65537315 hasAuthorship W65537315A5055731232 @default.
- W65537315 hasConcept C11821877 @default.
- W65537315 hasConcept C127413603 @default.
- W65537315 hasConcept C136119220 @default.
- W65537315 hasConcept C146978453 @default.
- W65537315 hasConcept C16310669 @default.
- W65537315 hasConcept C172252984 @default.
- W65537315 hasConcept C198800484 @default.
- W65537315 hasConcept C202444582 @default.
- W65537315 hasConcept C202615002 @default.
- W65537315 hasConcept C33923547 @default.
- W65537315 hasConcept C56802139 @default.
- W65537315 hasConcept C93226319 @default.
- W65537315 hasConceptScore W65537315C11821877 @default.
- W65537315 hasConceptScore W65537315C127413603 @default.
- W65537315 hasConceptScore W65537315C136119220 @default.
- W65537315 hasConceptScore W65537315C146978453 @default.
- W65537315 hasConceptScore W65537315C16310669 @default.
- W65537315 hasConceptScore W65537315C172252984 @default.
- W65537315 hasConceptScore W65537315C198800484 @default.
- W65537315 hasConceptScore W65537315C202444582 @default.
- W65537315 hasConceptScore W65537315C202615002 @default.
- W65537315 hasConceptScore W65537315C33923547 @default.
- W65537315 hasConceptScore W65537315C56802139 @default.
- W65537315 hasConceptScore W65537315C93226319 @default.
- W65537315 hasLocation W655373151 @default.
- W65537315 hasOpenAccess W65537315 @default.
- W65537315 hasPrimaryLocation W655373151 @default.
- W65537315 hasRelatedWork W1593006801 @default.
- W65537315 hasRelatedWork W181692858 @default.
- W65537315 hasRelatedWork W1974427385 @default.
- W65537315 hasRelatedWork W2073115506 @default.
- W65537315 hasRelatedWork W2076384357 @default.
- W65537315 hasRelatedWork W2100797666 @default.
- W65537315 hasRelatedWork W2127691971 @default.
- W65537315 hasRelatedWork W2263967233 @default.
- W65537315 hasRelatedWork W2314781788 @default.
- W65537315 hasRelatedWork W2341563854 @default.
- W65537315 hasRelatedWork W2403691231 @default.
- W65537315 hasRelatedWork W2795947535 @default.
- W65537315 hasRelatedWork W2802557585 @default.
- W65537315 hasRelatedWork W2951143298 @default.
- W65537315 hasRelatedWork W2955244707 @default.
- W65537315 hasRelatedWork W2962826746 @default.
- W65537315 hasRelatedWork W2963277410 @default.
- W65537315 hasRelatedWork W3037365713 @default.
- W65537315 hasRelatedWork W3109823208 @default.
- W65537315 hasRelatedWork W3120170916 @default.
- W65537315 isParatext "false" @default.
- W65537315 isRetracted "false" @default.
- W65537315 magId "65537315" @default.
- W65537315 workType "article" @default.