Posted by R as and beby (_x_) n-1 10n-1 Diff:(R) generated by {fn}nEJN' Show 10 Figure 5 ii) Suppose that the group G C Homeo(F) reversing elements. Then there is a subgroup that contains orientation H of G of index two such He Homeo+(F). Show that the orbit H(x), x E F, dense or exceptional if and only if G(x) lS finite, closed, locally is finite, closed, locally dense or exceptional, respectively.
Suppose that Gi are disjoint. 4. a) Describe the possible surfaces one can realize as leaves by gluing together the two boundary components of b) Cf. M. Hirsch [Hi 2]. Now let CW immersion TjI : SI x D2 ~ SI One can find SI ~ SI \p lP x D2 CW, W2 i = 2. For any and of degree two there ~s a whose image is CW embedding and such that pr I 0 TjI = \p 0 pr I . which clearly is of has an exceptional minimal set. c) Show that there exist exceptional leaves not belonging to any minimal set. 11, ii)). ix) Let Then F (M,F) be transversely orientable and of class is defined by al-form following it).
Then there is a subgroup that contains orientation H of G of index two such He Homeo+(F). Show that the orbit H(x), x E F, dense or exceptional if and only if G(x) lS finite, closed, locally is finite, closed, locally dense or exceptional, respectively. 4 for groups containing orientation reversing elements. - 26 - 3. 2. le. 6 bUVlcLt~. We ask which fibre bundles with fibre SI. e. have structure group that can be reduced to a totally disconnected one. In particular we want to know when the suspension H : IT 1B ~ Diffr(F) Diffr(F).