Some models produced by 3D iterations

TL;DR

This paper constructs models using 3D arrays of ccc posets to demonstrate that many classical continuum cardinal characteristics can be pairwise distinct.

Contribution

It introduces a novel method of using three-dimensional arrays of ccc posets to create models with pairwise different continuum cardinal characteristics.

Findings

Demonstrates the possibility of all classical continuum characteristics being pairwise different.

Develops a new construction technique using 3D arrays of ccc posets.

Provides models illustrating the independence of various continuum characteristics.

Abstract

We construct models, by three-dimensional arrays of ccc posets, where many classical cardinal characteristics of the continuum are pairwise different.