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Topic: Homomorphism of posets and lattices
Replies: 16   Last Post: Sep 20, 2013 6:22 AM

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quasi

Posts: 10,403
Registered: 7/15/05
Re: Homomorphism of posets and lattices
Posted: Sep 18, 2013 5:52 AM
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William Elliot wrote:
>
>Recall, that if f:X -> Y, is an embedding, then f:X -> f(X)
>is an isomorphism.


So define it that way.

Call f:X -> Y an order embedding if the map g: X -> f(X),
defined by g(x) = f(x) for all x in X, is an order isomorphism
from X to f(X).

quasi



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