Michael Kay Reedy

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Phil Kay

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Reedy Categories and Their Generalizations

We observe that the Reedy model structure on a diagram category can be constructed by iterating an operation of “bigluing” model structures along a pair of functors and a natural transformation. This yields a new explanation of the definition of Reedy categories: they are almost exactly those small categories for which the category of diagrams and its model structure can be constructed by itera...

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Cellular Presentations of Generalized Reedy Categories

This work in progress explores the algebraic perspective on the notion of generalized Reedy category introduced by Berger and Moerdijk [BM08]. The aim is to unify inductive arguments by means of a canonical presentation of the hom bifunctor as a “generalized cell complex.” This is analogous to the weighted (co)limits approach to ordinary Reedy category theory taken in [RV13], which inspired thi...

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Functors between Reedy Model Categories of Diagrams

If D is a Reedy category and M is a model category, the category M of D-diagrams in M is a model category under the Reedy model category structure. If C → D is a Reedy functor between Reedy categories, then there is an induced functor of diagram categories M → M. Our main result is a characterization of the Reedy functors C → D that induce right or left Quillen functors M → M for every model ca...

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Commentary on Kaplan and Kay

Anyone with a fundamental interest in morphology and phonology, either from a scientific or a computational perspective, will want to study this long-awaited paper carefully. Kaplan and Kay (henceforth K&K) announce two goals: "to provide the core of a mathematical framework for phonology" and "to establish a solid basis for computation in the domain of phonological and orthographic systems." T...

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ژورنال

عنوان ژورنال: Journal of Muscle Research and Cell Motility

سال: 2021

ISSN: 0142-4319,1573-2657

DOI: 10.1007/s10974-021-09602-0