F fatboy New member Joined Oct 16, 2005 Messages 5 Oct 17, 2005 #1 Consider to metric spaces X = (o,1) and Y =[0,1] with the usual metric. the sequence x_n = 1/n is Cauchy in both spaces but only convergent in Y. Hope this helps, Why is it not convergent in X ?
Consider to metric spaces X = (o,1) and Y =[0,1] with the usual metric. the sequence x_n = 1/n is Cauchy in both spaces but only convergent in Y. Hope this helps, Why is it not convergent in X ?
M Matt Junior Member Joined Jul 3, 2005 Messages 183 Oct 17, 2005 #2 Cross-reference: http://www.sosmath.com/CBB/viewtopic.php?t=18753
