# Tagged Questions

**6**

votes

**1**answer

192 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 ...

**13**

votes

**6**answers

1k views

### The category of posets

I am trying to teach myself category theory and, as a begginer, I am looking for
examples that I have a hands-on experience with.
Almost every introductory text in category theory contains following ...

**2**

votes

**1**answer

261 views

### What are $n$-poset?

Yesterday I was wandering for the $n$-lab and I've found the definition of $n$-poset.
Following this post it seems that a $n$-poset should be a $(n,n+1)$-category.
Now an $(n,r)$-category should be a ...

**2**

votes

**0**answers

119 views

### non-degenarete tools to calculate a derived functor on a model category which is a poset?

Are there theorems (esp. computational tools) on model categories which survive and do not trivialise when its underlying category is a (quasi-)poset ? Are there tools
that may help to calculate ...

**4**

votes

**4**answers

752 views

### Category = Groupoid x Poset?

Is it possible to split a given category $C$ up into its groupoid of isomorphisms and a category that resembles a poset?
"Splitting up" should be that $C$ can be expressed as some kind of extension ...