Geodesic
The theory of half derivators
Documenta mathematica, Tome 27 (2022), pp. 655-698 Cet article a éte moissonné depuis la source EMS Press

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We review the theory of derivators from the ground up, defining new classes of derivators which were originally motivated by derivator K-theory. We prove that many old arguments that relied on homotopical bicompleteness hold also for one-sided half derivators on arbitrary diagram categories. We end by defining the maximal domain for a K-theory of derivators generalising Waldhausen K-theory.
DOI : 10.4171/dm/881
Classification : 18N40, 55U35
Mots-clés : derivators, abstract homotopy theory 
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     author = {Ian Coley},
     title = {The theory of half derivators},
     journal = {Documenta mathematica},
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     year = {2022},
     volume = {27},
     doi = {10.4171/dm/881},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/881/}
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Ian Coley. The theory of half derivators. Documenta mathematica, Tome 27 (2022), pp. 655-698. doi: 10.4171/dm/881

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