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Homotopy theory, homological algebra, algebraic treatments of manifolds.

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Fiber homotopy equivalence

Suppose $(E_1, B_1, p_1)$ and $(E_2, B_2, p_2)$ are homotopy equivalent Hurewicz fibrations (that is there exist homotopy equivalencies $\phi: E_1 \rightarrow E_2$ and $\psi: B_1 \rightarrow B_2$ such …
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