MHB Symbols for LOWER SEGMENT and UPPER SEGMENT .... Searcoid, Definition 1.3.4 ....

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The discussion centers around Michael O. Searcoid's book "Elements of Abstract Analysis," specifically referencing Definition 1.3.4. A participant named Peter seeks assistance related to this definition and offers a scan of the text to aid understanding. Additionally, there is a clarification regarding the notation for acute and grave accents, indicating how they can be represented in mathematical expressions as \$\acute{s}\$ and \$\grave{s}\$, with a suggestion to simplify to \$\acute{s}\$ for convenience.
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In Micheal O. Searcoid's book "Elements of Abstract Analysis" we read the following:

View attachment 8425Help will be much appreciated ...Peter

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It may help readers of the above post to hve access to Searcoid's text of Definition 1.3.4 ... so I am providing a scan of the same ... as follows ...

View attachment 8426Hope that helps ...

Peter
 

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Those are the acute and grave accents.
They are written as \$\acute{s}\$ respectively \$\grave{s}\$.
They show up as $\acute s$ and $\grave s$.
We can shorten it to \$\acute s\$ if we want.
 
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