Model structures on the category of small double categories

DOI10.2140/agt.2008.8.1855zbMath1159.18302arXiv0711.0473OpenAlexW3124411399MaRDI QIDQ1007175

Thomas M. Fiore, Dorette Pronk, Simona Paoli

Publication date: 20 March 2009

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0473

zbMATH Keywords

model structure2-monad2-categorycategorificationcolimitdouble categoryfundamental categoryinternal categoryfundamental double categoryhorizontal categorificationtransfer of model structure

Mathematics Subject Classification ID

Related Items (13)

Concurrent Process Histories and Resource Transducers ⋮ Waldhausen additivity: classical and quasicategorical ⋮ A Thomason model structure on the category of small \(n\)-fold categories ⋮ The Gray monoidal product of double categories ⋮ A model structure for weakly horizontally invariant double categories ⋮ Cornering Optics ⋮ Protocol choice and iteration for the free cornering ⋮ Unnamed Item ⋮ How strict is strictification? ⋮ 2-Segal objects and the Waldhausen construction ⋮ 2-Segal sets and the Waldhausen construction ⋮ Monads in double categories ⋮ Comparison of Waldhausen constructions

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