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Real analysis

Posted: Wed Feb 07, 2018 5:33 pm
by Asis ghosh
what can you say A if LUB A = GLB A ?

Re: Real analysis

Posted: Wed Feb 07, 2018 7:47 pm
by Tolaso J Kos
Asis ghosh wrote:what can you say A if LUB A = GLB A ?
I beg your pardon?

Re: Real analysis

Posted: Wed Feb 07, 2018 10:47 pm
by Grigorios Kostakos
Asis ghosh wrote:what can you say about A if LUB A = GLB A ?
Maybe LUB is L(owest)U(pper)B(oundary) i.e. $\sup$ and GLB is G(reatest)L(ow)B(oundary) i.e. $\inf$.
The main question is what kind of set is $A$? Since we talking about $\inf{A}$ and $\sup{A}$ it must be given where lies $A$ i.e. it considered as a subset of what?

Re: Real analysis

Posted: Thu Feb 22, 2018 6:12 am
by Asis ghosh
please prove this question