The Infinite Hotel is undergoing some remodeling, and consequently some ofthe rooms will
Chapter 5, Problem 5(choose chapter or problem)
The Infinite Hotel is undergoing some remodeling, and consequently some ofthe rooms will be taken out of service. Show that, in a sense, this does notmatter as long as only a few rooms are removed. That is,(a) prove that if A is denumerable and then is denumerable.(b) prove that if A is denumerable and B is a finite subset of A, thenis denumerable.
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