The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math.research

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Order Type
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
William Elliot

Posts: 2,637
Registered: 1/8/12
Order Type
Posted: Jun 10, 2014 8:29 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Is this a correct construction of the order type of a well ordered set?

Let S be well ordered, seg_a S = { x in S | a < x }.

Recursively define a function f over S with ordinal values by
f(a) = f(seg_a S) = { f(x) | x < a }.

f is an order isomorphism from S onto the ordianl f(S).

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.