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Part of higher category theory that for instance in Algebraic Topology enables us to capture finer homotopic distinctions. As in say Eilenberg-Maclane spaces.

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Quasi-equivalent vs. homotopy equivalent functors in $A_\infty$ categories

Take a formal diffeomorphism of $n$-dimensional affine space, meaning a change of variables given by formal power series $(f_1(x_1,\dots,x_n),\dots,f_n(x_1,\dots,x_n))$ preserving the origin. This pre …
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