Re: topology and compact sets

From: William Elliot (marsh_at_privacy.net)
Date: 03/16/05 

Date: Wed, 16 Mar 2005 15:05:36 -0800

On Wed, 16 Mar 2005, Zdislav V. Kovarik wrote:
> On Wed, 16 Mar 2005, Dave Rusin wrote:
>> Igor Khavkine <igor.kh@gmail.com> wrote:
>>
>>> Is your set {x in X : f(x) leq c} open or closed?
>>
>> The teacher in me insists that you phrase your hint something like,
>>> Is your set {x in X : f(x) leq c} open? Or closed? Or... ?
>>
>> No sense reinforcing a common misunderstanding.
>
> Is the set ajar?...:-)=
>
I suppose it could be if it isn't in a door space.
By ajar do you mean semi-closed or preclosed?
Is regular closed set locked shut? ;-)

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