A note on the convexity of lattices generated by the set of nonnegative integers
Jozef Pócs · Mathematica Slovaca · 2014
Abstract A class of lattices is said to be a convexity if it is closed under homomorphic images, convex sublattices and direct products. The main aim of this paper is to show that convexity generated by nonnegative integers contains all ordinal numbers. Consequently, any two infinite ordinals generate the same convexity.