Solar energy paper index
Computads with invertible generators for weak ω-categories
One-line summary
A solar energy research paper on Computads with invertible generators for weak ω-categories.
Engineering notes
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Chinese explanation / 中文解读
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Original abstract
We extend the notion of computads for weak \(ω\)-categories to allow marking certain generators as invertible, and describe inductively the free \(ω\)-categories they generate. This gives a simple, finite description of the walking equivalences, the \(ω\)-categories classifying invertible cells. We then construct a coreflection from generalised to ordinary computads, preserving the generated \(ω\)-categories, and conclude that \(ω\)-categories generated by generalised computads are cofibrant. Finally, we study the subcategory of generalised computads and generator-preserving morphisms, and show that it is a presheaf topos, similarly to the case of ordinary computads.
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