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# Questions

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### A closed connected component in a topological space does not contain any path-connected subset?

oct 8 at 12:30 Mark Grant 9,55111439

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### Can we extend a a.e. Lipschitz map defined on a closed subset of \bR^N to the whole space such that it is still a.e. Lipschitz

sep 28 at 22:03 Pietro Majer 19.8k12570

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### On differentiability relative to a n-rectifiable subset of \mathbb{R^N}

oct 11 at 10:03 Changyu Guo 2105

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### Is there a criterion for a map to be a local homeomorphis?

oct 12 at 7:52 Changyu Guo 2105

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