Normal subgroups of diffeomorphism and homeomorphism groups of ℝn and other open manifolds
2011 ◽
Vol 31
(6)
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pp. 1835-1847
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Keyword(s):
AbstractWe determine all the normal subgroups of the group of Cr diffeomorphisms of ℝn, 1≤r≤∞, except when r=n+1 or n=4, and also of the group of homeomorphisms of ℝn ( r=0). We also study the group A0 of diffeomorphisms of an open manifold M that are isotopic to the identity. If M is the interior of a compact manifold with non-empty boundary, then the quotient of A0 by the normal subgroup of diffeomorphisms that coincide with the identity near to a given end e of M is simple.
1991 ◽
Vol 14
(3)
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pp. 475-480
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2019 ◽
Vol 18
(04)
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pp. 1950074
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1991 ◽
Vol 50
(1)
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pp. 160-170
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2013 ◽
Vol 12
(05)
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pp. 1250204
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2020 ◽
Vol 76
(1)
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pp. 7-23
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1984 ◽
Vol 27
(1)
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pp. 7-9
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1976 ◽
Vol 28
(2)
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pp. 420-428
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2006 ◽
Vol 05
(02)
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pp. 215-229
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