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Results tagged with order-theory
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user 8590
3
votes
Order dimension and weak poset partitions
Here is what I think is a partial answer to the problem.
Assuming that $(P_1,\leq_1),…,(P_n,\leq_n)$ are all subspaces of $(P,\leq)$ and $P_1,\ldots,P_n$ form a weak partition of $P$. If all $n$ spac …
- 1,498
11
votes
2
answers
378
views
Order dimension and weak poset partitions
The order dimension of a poset $(P,\leq)$ is the least number of linear extensions of $(P,\leq)$ such that the intersection of these extensions is $(P,\leq)$. The wikipedia entry provides some example …
- 1,498
2
votes
2
answers
243
views
Of what kind of complemented bounded poset are the structures in my quasi-variety?
I feel that my question is very basic, but, somewhat suprisingly, nobody was able to give me an answer so far:
Let
$\mathbf{M} := \langle \{ 0,1 \}, 0, 1, \leq, \neg \rangle$
be the structure with …
- 1,498