Fronts and lexicographically well-orderer

HyacinthH

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Joined
Sep 1, 2021
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2
Hi everyone!

I have a problem with these lemmas(II.2.18 and II.2.22, front from Nash-William theory). I know it is probably simple, but my brain can't find any good solution to prove it. I got a headache from it haha . Can please someone explains it to me? Thanks for all answers! I tried to do something with it, but nothing with i can share, because I get totally nothing :(
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Subhotosh Khan

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Jun 18, 2007
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25,459
Hi everyone!

I have a problem with these lemmas(II.2.18 and II.2.22, front from Nash-William theory). I know it is probably simple, but my brain can't find any good solution to prove it. I got a headache from it haha . Can please someone explains it to me? Thanks for all answers! I tried to do something with it, but nothing with i can share, because I get totally nothing :(
View attachment 28735


Please define for us, from your textbook or class-notes or Google:

  • Fronts on the domain
  • lexicographical rank

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HyacinthH

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Joined
Sep 1, 2021
Messages
2
Thanks, for the answer. I will send definition of front, but in my textbook there is nothing about lexicographical rank. It says only that "Every front is lexicographically well-ordered" nothing more. This square subset means that s is an initial segment of t.
front.PNG
 
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