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cianfa72
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- Locally euclidean request in manifold definition
Hi,
I'm a bit confused about the locally euclidean request involved in the definition of manifold (e.g. manifold ): every point in ##X## has an open neighbourhood homeomorphic to the Euclidean space ##E^n##.
As far as I know the definition of homeomorphism requires to specify a topology for both spaces (here the open neighbourhood as a space itself and the Euclidean space ##E^n##). Are the two spaces "silently" supposed to be endowed each with the subspace topology ?
I'm a bit confused about the locally euclidean request involved in the definition of manifold (e.g. manifold ): every point in ##X## has an open neighbourhood homeomorphic to the Euclidean space ##E^n##.
As far as I know the definition of homeomorphism requires to specify a topology for both spaces (here the open neighbourhood as a space itself and the Euclidean space ##E^n##). Are the two spaces "silently" supposed to be endowed each with the subspace topology ?
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