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Real analysis

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Real analysis
what can you say A if LUB A = GLB A ?
 Tolaso J Kos
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Re: Real analysis
I beg your pardon?Asis ghosh wrote:what can you say A if LUB A = GLB A ?
Imagination is much more important than knowledge.
 Grigorios Kostakos
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Re: Real analysis
Maybe LUB is L(owest)U(pper)B(oundary) i.e. $\sup$ and GLB is G(reatest)L(ow)B(oundary) i.e. $\inf$.Asis ghosh wrote:what can you say about A if LUB A = GLB A ?
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?
Grigorios Kostakos

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Re: Real analysis
please prove this question