Symmetric bimonoidal intermuting categories and $ω\timesω$ reduced bar constructions

Mathematics – Category Theory

Scientific paper

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29 pages

Scientific paper

A new, self-contained, proof of a coherence result for categories equipped
with two symmetric monoidal structures bridged by a natural transformation is
given. It is shown that this coherence result is sufficient for
$\omega\times\omega$-indexed family of iterated reduced bar constructions based
on such a category.

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