karlamiddleschool
02.10.2019 •
Mathematics
Let x be a metric space. (a) suppose that for some e > 0. every e-ball in x has compact closure. she that x is complete. (b) suppose that for each r e x there is an € > 0 such that the ball bora has compact closure. show by means of an example that x need not be complete. ylomnlete let ysl
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