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17 Mar 2006: Part IID RIEMANN SURFACES (2005–2006): Revision Example Sheet. (a.g.kovalev@dpmms.cam.ac.uk). Note. The present 24-lecture course on Riemann Surfaces was first lectured in the academic

21 Feb 2006: You should justify the differentiation.). 24. Let C : [0, 1] C, t 7 exp 2πit be the unit circle that divides C into two parts D = {z C : |z| < 1}and

25 Oct 2006: A; :=JKµE@JKZ7fÞ Ó <KG 24] @ 5sGAA5O7Bj :=Jlß 1 M7p/:=8K:(Gme7:A6v@ <9f89fqR:5R8I:A; :=JA0S7@rZÈ8IsGQ8 E@J<>màDAf:A5O89yfyÆGQJI; :v7JIfBD:oÔ"Ä:Q7E@JGyysm84s57f89:Ayf(BxG5O{v7JIBC:A<

4 May 2006: 24. Let X be a compact topological space. Prove that for any topological space T the secondprojection map X T T is a closed map (i.e. ... Hard) We now prove the converse to q.24: a space X is compact if for all spaces T the secondprojection pT : X T T is

30 Oct 2006: 24) (i) Show that H(X|Y ) 0 with equality if and only if X is a function of Y.

4 May 2006: 24. Let X, Y be topological spaces. Define an equivalence relation on X Y by (x, y) (x′, y′) y = y′.

16 Feb 2006: You should justify the differentiation.). 24. Let C : [0, 1] C, t 7 exp 2πit be the unit circle that divides C into two parts D = {z C : |z| < 1}and

10 May 2006: energy level). Wojtkowski has pointed out [24, Theorem 2.4] that the dynamics of(17) reparametrized by arc-length defines a flow on SM which coincides with theisokinetic thermostat with external ... Math. Pures Appl. 79 (2000) 953–974.[24] M.P.

2 Aug 2006: Ä» %¿(!0»µ(í µ[!o!µPî X Z í ] Ú»%0!µÅÄ%!»%»! cÈÞµTÀµ{%¿a.µwÂõwÁ>µwk»%í É»kf[vµË. ØÙØ ï«ÜÝcð5ñóòÜuÝÞßpàÙ 24.5,¢>@A"CBEDP8w.5,( 2 ... Ù 24.5,/6 Ç X 6M0, ;(F7D ÃÀ6»%ÆÃÇ Ä%!»% < vÀ.Åa%¿( X

2 Oct 2006: American J. of Math. 124 (2002), 879–920. 24 Anthony J. Scholl.

22 Oct 2006: 1/24. From this and Lemma 2.8 it follows that the number of appropriately directed 4-cycles.

20 Feb 2006: Proposition 5.1 Cauchy transforms have power series 22Corollary 5.2 Cauchy transforms are infinitely differentiable 23Theorem 5.3 Analytic functions have power series 23Proposition 5.4 Morera’s theorem 24. ... Thus zo is an isolated zero. 24. Corollary

9 Mar 2006: Proposition 5.1 Cauchy transforms have power series 22Corollary 5.2 Cauchy transforms are infinitely differentiable 23Theorem 5.3 Analytic functions have power series 23Proposition 5.4 Morera’s theorem 24.