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9 Aug 2005: B B 9 3 8. 3 @ 6!849 P 6 C48 35476)6 9. ... B B ( 3 8 2 6 @' 2 >=! 6!849 6 ( @ 358 2 6 @' 2 0%&' 6 358!

21 May 2005: 6. If A and B are subsets of Rn, we write A B for the set {a b : a A,b B}. ... Show that if Aand B are both closed and one of them is bounded, then A B is closed.

30 Sep 2005: Ξ = {ξ(a) : ξ(a) 6= ξ(b) for a 6= b} (4.3). ... look like figure 7. B B B ( )( ( )1 0 11)0 1.

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21 May 2005: 6. If A and B are subsets of Rn, we write A B for the set {a b : a A, b B}. ... Show that if Aand B are both closed and one of them is bounded, then A B is closed.

9 Aug 2005: B [ b D6D y L B S B eAR [ DYALNQcR0L B y D [4T D6BCD Q LN] D SOU l K,x. ... n0LNQkQ D y<eAT B RZ]cRZe B b D Q% eAQML B y D x ePLN]c] D M b ] 2LA[.

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21 May 2005: 8. Part (b) is incorrect: In the figure, the segments labelled A are supposed to beidentified and the segments labelled B are supposed to be identified, but theresulting segments A and ... a},{1, 2, 5}, {1, 2, 6}, {1, 3, 4}, {1, 5, 6},{2, 3, 5}, {2, 4, 6}

26 Sep 2005: Let us compute the commutator of twosuch vector fields F(A,a) and F(B,b). ... Thus. [F(A,a),F(B,b). ]= F(C,c), where (C, c) = (AB BA,Ab Ba).