Juan Miguel Arrazola
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Sep
24
awarded  Autobiographer
Aug
28
awarded  Scholar
Aug
28
accepted Membership based on maximum of a function over the set.
Aug
28
comment Membership based on maximum of a function over the set.
This is precisely what I was looking for. Many thanks!
Aug
28
awarded  Supporter
Aug
28
comment Membership based on maximum of a function over the set.
I am only interested in $f(x)\leq s_{max} \Rightarrow x\in S$. Thanks for your comments, I have amended the question based on them. Yes, a constant function would work but I would like to know what other possibilities are allowed.
Aug
28
awarded  Editor
Aug
28
revised Membership based on maximum of a function over the set.
added 9 characters in body
Aug
28
asked Membership based on maximum of a function over the set.