nLab
inverse EI (∞,1)-category

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Idea

An EI (∞,1)-category is an (∞,1)-category in which every endomorphism is an equivalence. This induces a ordering \prec on the equivalence classes of objects, where x≺y means that there is a noninvertible morphism yxy \to x.

An inverse EI (∞,1)-category is an EI (∞,1)-category which is also an inverse (∞,1)-category, that is, is such that \prec is well-founded, i.e., there are no infinite chains of noninvertible morphisms \to \to \to \cdots.

Examples

References

Last revised on July 2, 2018 at 04:27:42. See the history of this page for a list of all contributions to it.