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Computads and slices of operads

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arxiv math/0209035 v1 pith:BQLVM7DO submitted 2002-09-04 math.CT

classification math.CT
keywords slicescomputadsoperadscalledcategoryconnectedgivenglobular
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abstract

For a given $\omega$-operad $A$ on globular sets we introduce a sequence of symmetric operads on $Set$ called slices of $A$ and show how the connected limit preserving properties of slices are related to the property of the category of $n$-computads of $A$ being a presheaf topos.

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Cited by 1 Pith paper

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  1. Naturality for higher-dimensional path types

    math.CT 2025-01 conditional novelty 7.0 of 10

    A depth-bounded naturality meta-operation in the Catt type theory constructs and machine-checks cylinder and cone composites in weak omega-categories.

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