(a) If {Ta} is a family of topologies on X, show that N Ta is a topology on X. Is UTa a topology on X?

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Q: Theorem 1.14. The set of all finite subsets of a countable set is countable.

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Q: possible

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A: Topology Question

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Q: ieN 5. (a) Uli,i+ 1]= (b) Nli, ieN ieN 6. (a) | Iro.i +11=

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Q: i) Repeat the Cantor construction starting with the interval [0,1]. This time, however, remove the…

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Q: 4. [Falkner Section 15 Exercise 1 - modified] Show that the intervals A = [1, ∞) and B = (1, ∞) have…

A: In this case we define two segment. One for natural numbers and one for other numbers.

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