By Allan A MacRae
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Additional info for An Introduction and response to the higher criticism of the Pentateuch
1 we define a representation by Then the suspension of H provides an analytic foliation on with an exceptional minimal set easily construct a minimal set M' M. h E Diff7(SI) iii) Taking COO such that foliation on (B Sacksteder (cf. - x Sl = Mn Sl, we can with an exceptional has non-trivial holonomy. The third example, due to concerns Thurston's stability theorem in codi- ~), mension one (cf. 5). It shows that this theorem cannot be generalized to not transversely orientable foliations. We proceed in several steps.
Figure 6 - 33 - We define a representation by t E Fix(g) the rotation through g, where Fix(g) Since ~, and the germ of g at any = H(y 4 ) = id sl a is irrational all orbits of Furthermore, the isotropy group of trivial. Thus the leaf through Clearly (consider *0 a ER - is non-trivial, H(Y3) SI. Ra , F2 t G im H = G at any are dense in t E Fix(g) is non- has non-trivial holonomy. 5, M is diffeomorphic to B x B). SI. 2. ytic. d bundle. ptionai. mtrUmai. ~ u. Following Raymond's thesis [Ra] we construct an analytic foliation of codimension one with an exceptional minimal set.
F. foliation, Li' i r ~ 0, of codimension one tangent to the boundary component Suppose that we are given a = 0,). (j) : 'We paste -+ diffeomorphism L) . along 'the boundary components M o identifying Lo Cr E Lo x with L o and L) by and thus obtain a manifold (p(x) E L) M = Mo U M), (j) together with a foliation agrees with F. ~ on Mi' i one-dimensional foliation We say that and (M),F 1) by F ~ 0 0, FIh (M,F) of F (j). U F) of codimension one on I. Furthermore, on M which (j) FIh 0 and FIh 1 M which is transverse to is obtained Ex gluing together define a F.