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22 Nov 2005: 20. Suppose that (X,d) is a complete metric space. Let U X be a proper open subset withcomplement A = X U.

21 May 2005: 4 ANALYSIS II EXAMPLES 4. 20. [Tripos IB 93301(b)] Let (X,d) be a metric space without isolated points (i.e.

12 Jul 2005: where X has b3 = 0 and Y is aconnected sum of 20 copies of S3 S3. ... Global Anal. Geom. 26 (2004) 209–229.[19] C.Z. Tan, Ph.D. thesis, University of Cambridge, in preparation.[20] C.T.C.

30 Jun 2005: Th. and Dynam. Syst. 20 (2000), 1619–1626. [4] M. Burger, Horocycle flow on geometrically finite surfaces, Duke Math. ... linearity 15 (2002) 281–314. 20 G. P. PATERNAIN. [6] G. Contreras, Action potential and weak KAM solutions, Calc.

26 Sep 2005: In the case of Riemannian manifolds, the above operators were denoted in [20, 22]. ... iju:ji = I II III. 20 N.S. DAIRBEKOV AND G.P. PATERNAIN.

21 May 2005: . . . 20. Let P2 = P2(x,y) be the space of polynomials in x,y of degree 2 in each variable.

21 May 2005: 20. Show that the dual of the space P of real polynomials is isomorphic to the space RN of all sequences ofreal numbers, via the mapping which sends a linear form

10 Nov 2005: 20) Show that |pG(1)| = (1)|G|pG(1) is the number of acyclic orientations of G.(An orientation of G is an assignment of a direction to each edge.).

21 May 2005: 20. A space-filling curve (Exercise 14, Chapter 7 of Rudin’s book).

21 May 2005: 20) Let G have n r 1 vertices and tr1(n) 1 edges.(i) Prove that for every p in the range r p n, G has a subgraph of order