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 Mar17 awarded Notable Question Oct18 awarded Popular Question Jan16 comment set valued maps (liminf,limisup,…) ??? we use a metric d in the definition ! Jan16 comment set valued maps (liminf,limisup,…) please help me ≈_≈ Jan16 comment set valued maps (liminf,limisup,…) i say : $d(x,A_n)<\varepsilon$ and $d(x,B_n)<\varepsilon$ ? Jan16 comment set valued maps (liminf,limisup,…) then how to finish the implication ? thank you Jan16 asked set valued maps (liminf,limisup,…) Jan15 comment Set-valued maps thank you ^_^ . Jan15 accepted Set-valued maps Jan15 comment Set-valued maps yes i known ... Jan15 comment Set-valued maps Please , how can i proov this ? $\!\!\!\!\!\!\!\displaystyle\lim_{\quad \quad n\rightarrow \infty}\!\!\!\!\!\!\!\!\mbox{-inf} A_n=\bigcup_{N\in\mathbb{N}}\bigcap_{n>N} A_n$ Jan15 comment Set-valued maps $\displaystyle\underline\lim_{n\rightarrow \infty} A_n =\lbrace x\in E, \displaystyle\lim_{n\rightarrow \infty}d(x,A_n)=0 \rbrace$, $(E,d)$ is a metric space Jan15 comment Set-valued maps $x \in (A_n)_\varepsilon \Leftrightarrow d(x,A_n) < \varepsilon$ Jan15 comment Set-valued maps is the $\varepsilon$-neighborhood of the set $A_n$ Jan15 asked Set-valued maps Jan15 accepted Derivative of determinant of a matrix Jan14 awarded Nice Question Jan13 awarded Commentator Jan13 awarded Self-Learner Jan13 comment Derivative of determinant of a matrix what is the relation ?