Consider the map defined in Exercise of §19; give the uniform topology. Under what conditions on the numbers a, and bi is h continuous?
Given sequences (a1, a2, …) and (b1, b2, …) of real numbers with ai > 0 for all i, define by the equation
Show that is given the product topology, h is a homeomorphism of with itself. What happens if is given the box topology?
a homeomorphism?
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