Let A be a set, and denote by the set of orderings of A. That is, A = {(A, <)< is an order relation on A}. Define a relation on by (A,

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Plz do fast

Let A be a set, and denote by A the set of orderings of A. That is,
A = {(A, <)| < is an order relation on A}.
Define a relation on ✅ by (A, <o) ~ (A, <₁) whenever (A, <o) and (A, <₁) have the same order type. Prove
that is an equivalence relation.
Transcribed Image Text:Let A be a set, and denote by A the set of orderings of A. That is, A = {(A, <)| < is an order relation on A}. Define a relation on ✅ by (A, <o) ~ (A, <₁) whenever (A, <o) and (A, <₁) have the same order type. Prove that is an equivalence relation.
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,