Recent content by Swixi

I think it's just my grasp of infinite sets that is weak. I suppose I need to do more work with families of sets. Thanks again.

Thanks for the help. When I was working on this, I initially figured that the intersection over all of the sets is empty like you proved (because n-> infinity and 1/n -> 0). But, if you were to choose that set "at infinity" (which makes \bigcap empty) as your A_\alpha, then wouldn't its...

Homework Statement Give an example of an indexed collection of sets {A_{\alpha} : \alpha\in\Delta} such that each A_{\alpha}\subseteq(0,1) , and for all \alpha and \beta\in\Delta, A_{\alpha}\cap A_{\beta}\neq \emptyset but \bigcap_{\alpha\in\Delta}A_{\alpha} = \emptyset.Homework Equations...