updates
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@@ -88,7 +88,7 @@ $\bar{f}_t=\bar{f}(1-ts)$ $s\in[\frac{1}{2},1]$.
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> [!CAUTION]
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>
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> Homeomorphism does not implies homotopy automatically.
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> Homeomorphism does not implies homotopy automatically. Homeomorphism doesn’t force a homotopy between that map and the identity (or between two given homeomorphisms).
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#### Definition for the fundamental group
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