R. P. Filipkiewicz
Abstract
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Abstract It is shown that any group isomorphism between the Ck diffeomorphism groups of two finite-dimensional, boundaryless paracompact manifolds is induced by a Ck diffeomorphism between the manifolds (1 ≤ k ≤ ∞).
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Abstract It is shown that any group isomorphism between the Ck diffeomorphism groups of two finite-dimensional, boundaryless paracompact manifolds is induced by a Ck diffeomorphism between the manifolds (1 ≤ k ≤ ∞).
Key concepts: Diffeomorphism, Paracompact space, Mathematics, Isomorphism (crystallography), Pure mathematics, Group (periodic table), Combinatorics, Hausdorff space