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Real analysis

Real Analysis
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Asis ghosh
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Real analysis

#1

Post by Asis ghosh » Wed Feb 07, 2018 5:33 pm

what can you say A if LUB A = GLB A ?
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Tolaso J Kos
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Re: Real analysis

#2

Post by Tolaso J Kos » Wed Feb 07, 2018 7:47 pm

Asis ghosh wrote:what can you say A if LUB A = GLB A ?
I beg your pardon?
Imagination is much more important than knowledge.
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Grigorios Kostakos
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Re: Real analysis

#3

Post by Grigorios Kostakos » Wed Feb 07, 2018 10:47 pm

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?
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Asis ghosh
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Re: Real analysis

#4

Post by Asis ghosh » Thu Feb 22, 2018 6:12 am

please prove this question
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