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I am a newbie of this forum. Nice to meet you all.

When I read mathematical proofs or whatever, I always come across open/closed set but I simply have no clue on why and when should one start with them. For example, "Assume the parameter \theta takes values in \Theta, where \Theta is an open set, .....", so what's the motivation for such assumption? It is just arbitrarily up to someone's preference? or somehow this kind of things may fascilitate proofs/key steps afterwards?

I always try to understand people's work on what's their motivation on doing/defining/assuming something.

Thanks.

Wayne

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# When to use open/closed set,etc

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