# Tagged Questions

**6**

votes

**1**answer

199 views

### Terminology question for poset maps

Is there a standard name for order-preserving maps $f\colon P\to Q$ of posets with the property that the image of a lower set is a lower set, or equivalently if $q\leq f(p)$ then there exists $p'\leq ...

**9**

votes

**1**answer

411 views

### Does this property of a partially ordered set have a name?

What do you call a poset with this property? For any elements $a,b,c,d$ such that $\{a,b\}\le\{c,d\}$, there is an element x such that $\{a,b\}\le x\le\{c,d\}$. (Equivalently, for any finite sets ...

**7**

votes

**0**answers

398 views

### The name for a partial order

In a recent paper of mine, my co-authors found that a partial order that we were using was contained in a paper by Kundgen. In it, he called it "right-shifted partial order". I was curious, and found ...

**0**

votes

**1**answer

286 views

### Terminology for posets.

What should I call a poset with the property that each element has AT MOST ONE
predecessor?
(I'm actually interested in the special case in which there are no infinite descending chains.)
...