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Homotopy theory, homological algebra, algebraic treatments of manifolds.
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Adjunctions of uniformly locally connected spaces
A space $X$ is uniformly locally connected (ULC) if there exists an open neighbourhood $U$ of the diagonal $\vartriangle_X$ in $X \times X$ and a homotopy $H: U \times I \to X$ between $\pi_1|U$ and $ …