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7 Aug 2002: 1. (U). In order to produce the rest of the write-up, what we shall do is pick out a few of the statements from steps 1-20, put them in ... The jump from 19 to 20 was also pretty simple, so instead of writing out 19, we can now imagine c as fixed and

9 Sep 2002: These nine manifolds share theproperty that their loop space homology grows polynomially for any coefficient field,see Paternain and Petean [20]. ... P. Paternain, Geodesic Flows, Progress in Mathematics 180, Birkhäuser, 1999.[20] G.

21 Jun 2002: h,γ) = hsα(γ) and check using (20) that θ+ is a ho-. ... uχ(h+) = (θV (h+),θW (h+))u for all h+ H5. (24). 20.

9 Aug 2002: 20, or 0.005) when we have a clearer idea of what we need it for.

9 Sep 2002: The simplicial volume is also called Gromov’sinvariant, since it was first introduced by Gromov in [20]. ... As pointed out by Gromov in [20], this result generalizes to anyodd dimension.

12 Sep 2002: The size of A A is 20, which is over. three times larger than the size of A.

9 Sep 2002: 3. i<j=1,k=1. ijkn1iaiBik. xs1,s3i (t)xs1,s3j (t)y. r1,r3k (t θ̃) dt. (20). ... t|), so (20) can be calculated by integrating the terms from equations (22-24)term-by-term against xsj(τ)x.