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

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 William Elliot Posts: 2,637 Registered: 1/8/12
Re: Homomorphism of posets and lattices
Posted: Sep 19, 2013 1:04 AM

Now that those definitions have finally been corrected,
I've found yet another error to bring to your attention.

Proposition 3.4. Let f be a monotone map from a meet-semilattice K
to some poset L. If
Aa,b in K: f(a meet b) = f(a) meet f(b)
then f is a straight map.

The problem I see with this proposition is that
f(a) meet f(b) doesn't exist for a,b in K.

I suggest these corrections.

Let f be a monotone map from a meet-semilattice K to some meet-semilattice L.

Let f be a monotone map from a meet-semilattice K to some poset L
for which f(K) is a meet-semilattice.

Date Subject Author
9/18/13 William Elliot
9/18/13 quasi
9/18/13 William Elliot
9/18/13 quasi
9/18/13 William Elliot
9/18/13 quasi
9/18/13 Peter Percival
9/18/13 quasi
9/18/13 William Elliot
9/19/13 William Elliot
9/19/13 quasi
9/18/13 Victor Porton
9/18/13 quasi
9/18/13 quasi
9/20/13 @less@ndro
9/19/13 William Elliot
9/19/13 Victor Porton