Thread: Is a set the union of its finite subsets?

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.

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.


[tex]A~,~\mathcal{A}~,~\mathbb{A}[/tex] gives

It was very kind of you. A short time after writing I saw the key was considering the singletons. Best regards,

Enrique.