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($\infty,1$) ∞,1) vs Category weakly enriched over spaces |
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($\infty,1$) vs Category weakly enriched over spacesWhat is the difference between: ($\infty,1$) categories - in which have for two objects you have an ($\infty,0$) category of morphisms (i.e. a space of morphisms) and categories weakly enriched over spaces - by that I mean categories such that hom(x,y) is always a space and composition is defined only up to (coherent) homotopy ?
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