- #1
glebovg
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Homework Statement
Show that every compact set must be closed.
I am looking for a simple proof.
This is supposed to be Intro Analysis proof.
Relevant equations
Any compact set must be bounded.
Suppose A is not closed, so let a be an accumulation point of A such that a is in A etc. (I think I can finish this proof, but I do not like it.)
Does anyone know of a simpler proof.
Show that every compact set must be closed.
I am looking for a simple proof.
This is supposed to be Intro Analysis proof.
Relevant equations
Any compact set must be bounded.
The Attempt at a Solution
Suppose A is not closed, so let a be an accumulation point of A such that a is in A etc. (I think I can finish this proof, but I do not like it.)
Does anyone know of a simpler proof.