Page 1 Next

Displaying 1 – 20 of 56

Showing per page

On distances and metrics in discrete ordered sets

Stephan Foldes, Sándor Radelecki (2021)

Mathematica Bohemica

Discrete partially ordered sets can be turned into distance spaces in several ways. The distance functions may or may not satisfy the triangle inequality and restrictions of the distance to finite chains may or may not coincide with the natural, difference-of-height distance measured in a chain. It is shown that for semilattices the semimodularity ensures the good behaviour of the distances considered. The Jordan-Dedekind chain condition, which is weaker than semimodularity, is equivalent to the...

Currently displaying 1 – 20 of 56

Page 1 Next