Let X be the set of all subsets of R whose complement is a finite set...

Let X be the set of all subsets of R whose complement is a finite set in R:

X = {O ⊂ R | R − O is finite} ∪ {∅}

a) Show that T is a topological structure no R.

b) Prove that (R, X) is connected.

c) Prove that (R, X) is compact.

Expert Solution

Colby Messinger answered 2 years ago

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