Kenneth Rosen Edition 6th Exercise 7.6 Question 54 (Page No. 525)

68 views
Determine whether each of these posets is well-ordered.

(Q ∩[0, 1], ≤) (the set of rational numbers between
0 and 1 inclusive)

The answer is not well ordered because as it doesn't have any unique least element as 0 can be expressed in p/q forms like (0/12,0/23,0/234). All are representing zero but there is no unique among them.

Is this the reason here? Please confirm

edited
0

https://gateoverflow.in/52391/well-ordered-set see this once or goto  wikipedia for more reference and search for real number in well ordered set. u will get everything.

and its not what u are thinking its because we cannot track the least value for the set.

0
What is well ordered set? Is it same as totally ordered set?
0

Related questions

1
201 views
How is this a lattice?
1 vote
Let R be the relation on the set of functions from $Z^+$ to itself such that (f,g) belongs to R iff f is $\Theta(g)$ The equivalence class of f(n)=$n^2$ is set of all functions who are in $\Theta(n^2)$ is it correct?
Consider the equivalence relation R = $\{(x,y) \, | \, x-y \,is\,an\,integer\}$ (b) What is the equivalence class of 1/2 for this equivalence relation?