Construction of higher groupoids via matched pairs actions

DOI10.3906/mat-1809-84zbMath1418.20013OpenAlexW2947187216WikidataQ127760381 ScholiaQ127760381MaRDI QIDQ5229858

Koray Yilmaz, Erdal Ulualan

Publication date: 19 August 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1809-84

zbMATH Keywords

matched pairsmatched tripletriple groupoid

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Cites Work

• Spaces with finitely many non-trivial homotopy groups
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• Galois theory and a new homotopy double groupoid of a map of spaces
• Matched pairs approach to set theoretic solutions of the Yang-Baxter equation.
• Fibrations of groupoids
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• On Double Groups and the Poincar\'e group
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