Corpus ID: 118432512

QUOTIENTS OF UNITAL A∞-CATEGORIES

@inproceedings{Lyubashenko2008QUOTIENTSOU,
title={QUOTIENTS OF UNITAL A∞-CATEGORIES},
author={V. Lyubashenko and Oleksandr Manzyuk},
year={2008}
}
• Published 2008
• Mathematics
• Assuming that B is a full A∞-subcategory of a unital A∞-category C we construct the quotient unital A∞-category D =‘C/B’. It represents the A u-2-functor A 7→ A u (C, A)mod B, which associates with a given unital A∞-category A the A∞-category of unital A∞-functors C → A, whose restriction to B is contractible. Namely, there is a unital A∞-functor e : C → D such that the composition B → C e −→ D is contractible, and for an arbitrary unital A∞-category A the restriction A∞-functor (e ⊠ 1)M : A u… CONTINUE READING

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