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What is a poset?

What is a poset? Here are some definitions.

Noun
  1. (set theory) A partially ordered set.
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Any passing siteswap can be represented by using a juggling poset, but it is not so handy.
Similarly, every graded rooted arborescence is a skeletal poset.
In a standard way, every poset can be considered as a category, and monotone mappings between posets can be considered as functors.
We prove completeness results and algebraicity results for the poset of real traces and for the poset transfinite traces.
Since a Boolean algebra is a poset, it is also a category.
The set of subsets of a finite set having an even number of elements is an example of a poset that is not a lattice.

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