Mathematics – Differential Geometry
Scientific paper
2008-04-23
Topology, 48 (2009) 119-129
Mathematics
Differential Geometry
14 pages
Scientific paper
We prove that the group D^r(R) of C^r diffeomorphisms of the real line, endowed with the compact-open and Whitney C^r topologies, is bihomeomorphic to the group H(R) of homeomorphisms of the real line endowed with the compact-open and Whitney topologies. This implies that the diffeomorphism group D^r(R) endowed with the Whitney C^r topology is homeomorphic to the countable box-power of the separable Hilbert space.
Banakh Taras
Yagasaki Tatsuhiko
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