1 Professor Carl Cowen Math 54600 Fall 09 PROBLEMS 1. (Geometry in Inner Product Spaces) (a) (Parallelogram Law) Show that in an
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SOLVED: :v. 79Y0 'P .. 77 :0 Nrtlo D Complete Metric Spaces 1;n V .; Vy< 764340 'Khish ToVi Wam 1. Let xn, Yn be Cauchy sequences in a metric space X,d.
SOLVED: b) Prove that every metric space is a ttopological space. Ic) Is the converse of part (b) true? That is, is levery topological space a metric space? Justify your answer
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