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This tag is used if a reference is needed in a paper or textbook on a specific result.

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Homotopy equivalences preserving structure

Suppose I have $X=X_1\cup X_2\cup…\cup X_n$ and $f:X \to Y$ where $Y$ has a similar decomposition. Suppose I know that $f | X_{i_1}\cap…\cap X_{i_r} \to Y_{i_1}\cap…\cap Y_{i_r}$ is a homotopy equiv …
Steve Ferry's user avatar