# Questions tagged [posets]

A poset or partially ordered set is a set endowed with a partial order, meaning a binary relation $\leq$ which is reflexive ($x \leq x$ for all $x$), antisymmetric ($x\leq y$ and $y\leq x$ implies $x=y$), and transitive ($x\leq y$ and $y\leq z$ implies $x \leq z$).

**3**

**1**answer

### Are there overwhelmingly more finite posets than finite groups? [closed]

**1**

**0**answers

### Free monoids on posets

**26**

**1**answer

### Applications of Zorn’s lemma that aren’t chain-complete/directed-complete?

**3**

**0**answers

### What do you call such a relation between subsets in a poset

**8**

**1**answer

### What is the theory of the random poset?

**6**

**1**answer

### What is the Möbius function of substrings?

**7**

**1**answer

### Tameable hypergraphs

**3**

**0**answers

### Does every finite lattice embed into a finite Eulerian lattice?

**10**

**3**answers

### Listing all posets on 9 points?

**3**

**1**answer

### ${\frak b}$ and ${\frak d}$ in the Rudin-Keisler preordering

**1**

**1**answer

### Minimizing the set of monochromatic edges

**6**

**1**answer

### Sum of order polynomials of a set of posets

**4**

**1**answer

### Can one characterize maximal antichains in terms of distributive lattices?

**8**

**1**answer

### Verification of a maximal antichain

**1**

**0**answers

### Complexity of a poset

**15**

**1**answer

### Suprema of directed sets

**3**

**0**answers

### Is the outer automorphism group of a finite poset finite when the Coxeter matrix has finite order?

**1**

**0**answers

### On the order of the Coxeter matrix of a poset

**5**

**0**answers

### Is this a counterexample to a conjecture on weakly periodic Coxeter matrices?

**5**

**2**answers

### Non-homeomorphic connected $T_2$-spaces with isomorphic topology poset

**5**

**1**answer

### Outer automorphism group of posets

**4**

**0**answers

### Finite pre-orders embeddable in the Rudin-Keisler ordering

**17**

**3**answers

### What is the minimum size of a partial order containing all partial orders of size 5?

**11**

**0**answers

### Does every finite poset have a rigid endomorphism?

**5**

**0**answers

### Additional examples of classes of networks whose Hasse diagram of the poset is a perfect graph

**0**

**1**answer

### Using a poset or directed graph as input for a neural network [closed]

**9**

**2**answers

### Integer decomposition property with a partial order

**4**

**1**answer

### Maximal order of an order-preserving map

**23**

**1**answer

### Expected height of a poset?

**3**

**0**answers

### Poset of antichains of given cardinality

**7**

**1**answer

### Trace of a matrix associated to posets

**5**

**1**answer

### On the width of the Catalan monoid and the rank of K-groups of the Furstenberg transformation group

**4**

**1**answer

### A meet-semilattice with top element that is not a lattice?

**8**

**0**answers

### Periods of Coxeter transformation associated to root posets

**2**

**0**answers

### When are quotients of the Boolean lattice dissective?

**6**

**0**answers

### Classification of posets that are quotient posets of the Boolean lattice

**4**

**0**answers

### Factorisation of a polynomial from the Boolean algebra

**0**

**0**answers

### Given multiple posets, what is the probability that a randomly selected (uniform dist) subposet of their product has a max under the product order?

**4**

**1**answer

### Not sure whether I find a counterexample to poset fiber theorem

**4**

**0**answers

### Which posets can occur from commutative Frobenius algebras?

**6**

**2**answers

### Group structure for distributive lattices

**9**

**0**answers

### Distributivity of certain infinite products

**3**

**0**answers

### Shellability and order filters in the partition lattice

**2**

**0**answers

### Non-commutative version of the order dimension of a poset

**4**

**2**answers

### The average size of downward closed family of the subsets of $[n]$ is at most $n/2$?

**1**

**0**answers

### Posets which extend centered sets to filters

**1**

**0**answers

### Do you recognise this setup of structure on a poset?

**10**

**1**answer

### Poset-troids …?

**0**

**0**answers

### Number of minimal elements of product order

**0**

**2**answers