Given Sequences A1 22 And B1 B2 Of Real Numbers With A 0 For All I Consider The Map H Rw R Define 1 (33.46 KiB) Viewed 48 times
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Since I am very beginer, sometimes I'm not fully
understood.
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Given sequences (a1, 22, ...) and (b1,b2, ...) of real numbers with a; > 0 for all i. Consider the map h: RW + R" defined by the equation : h((11, 12,...)) = (a121 + b1, 02.82 + b2, ...). give Rw the uniform topology. Under what conditions on the numbers di and bị is h contin- uous? a homeomorphism?
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