Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

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


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

Topic: Order embedding
Replies: 8   Last Post: Sep 16, 2013 10:01 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
David Hartley

Posts: 457
Registered: 12/13/04
Re: Order embedding
Posted: Sep 16, 2013 3:33 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In message <o19e391hgcgk4fv7bd126p7lsle5g9j89o@4ax.com>,
dullrich@sprynet.com writes
>>> f:X -> Y is an order embedding when
>>> for all x,y, (x <= y iff f(x) <= f(y)).

>>
>>Yes.

>
>I think no. Surely an embedding is required to be injective.


f(x) = f(y) => f(x) <= f(y) and f(y) <= f(x)
=> x <= y and y <= x
=> x = y


--
David Hartley



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

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.