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When are Immersions Diffeomorphisms?
Published online by Cambridge University Press: 20 November 2018
Abstract
It is shown in this paper that an immersion of a connected, closed n-manifold into another connected n-manifold is a diffeomorphism if and only if the induced homomorphism between the fundamental groups is surjective at some point. This is proved as a consequence of a more general assertion about topological spaces.
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- Copyright © Canadian Mathematical Society 1981
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