TY  - JOUR
ID  - Lech2008
LB  - Lech2008
AU  - Lech, Jacek
TI  - On the perfectness of C<sup>∞,s</sup>-diffeomorphism groups on a foliated manifold
ST  - On the perfectness of C<sup>∞,s</sup>-diffeomorphism groups on a foliated manifold
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2008
VL  - 28
IS  - 3
SP  - 313
EP  - 324
DO  - http://dx.doi.org/10.7494/OpMath.2008.28.3.313
UR  - http://dx.doi.org/10.7494/OpMath.2008.28.3.313
AB  - The notion of \(C^{r,s}\) and \(C^{\infty,s}\)-diffeomorphisms is introduced. It is shown that the identity component of the group of leaf preserving \(C^{\infty,s}\)-diffeomorphisms with compact supports is perfect. This result is a modification of the Mather and Epstein perfectness theorem.
KW  - group of \(C^{\infty}\)-diffeomorphisms
KW  - perfectness
KW  - commutator
KW  - foliation
SN  - 1232-9274
ER  -