#Ordered sets

10 messages · Page 1 of 1 (latest)

full garnet
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Someone explain to me what the difference between the two are?
I've beeb banging my head against a wall for 1 hour trying to understand how these 2 things are diffenret

Let (A, <=) be a poset (partial ordered set) and S and non-empty subset of A

Then e an element of S is :

  1. minimal element of S if for every a in S, a <= e implies a = e
  2. minimum of S if e <= a for all a in S

(The same goes for the other 2 definitons of maximal element and maximum)

upbeat prawnBOT
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  1. Wait patiently for a helper to come along.
  2. Once someone helps you, say thank you and close the thread with: ```diff
    +close
neat lotus
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according to your definitions, in this poset

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here 4 and 3 are minimum elements

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1 is the minimal element

full garnet
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So the difference between the 2 is just that minimums are unique and minimal can be more than 1

full garnet
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+close