Hi: Let A be a set. Is A the union of all its finite subsets? By the way: how can I write a capital cursive in Latex? Regards and thanks for reading. Enrique.
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I would say yes it is. A union is everything included in the selected sets. Here, there is only one set, and we are not excluding any part of it, so it is in Union of itself. I am no expert., just trying to help.
Originally Posted by ENRIQUESTEFANINI Hi: Let A be a set. Is A the union of all its finite subsets? By the way: how can I write a capital cursive in Latex? Regards and thanks for reading. Consider this very carefully. $\displaystyle \bigcup\limits_{n \in A} {\{ n\} } = ?$ [tex]A~,~\mathcal{A}~,~\mathbb{A}[/tex] gives $\displaystyle A~,~\mathcal{A}~,~\mathbb{A}$
It was very kind of you. A short time after writing I saw the key was considering the singletons. Best regards, Enrique.
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