TWO POROSITY RESULTS IN MONOTONIC ANALYSIS
Alexander M. Rubinov, Alexander J. Zaslavski · Numerical Functional Analysis and Optimization · 2002
In this work we consider spaces of increasing functions defined on a subset of an ordered normed space. We equip each of these spaces with a natural metric and show that the complement of the subset of all strictly increasing functions is σ-porous. We also discuss some properties of normal sets and strictly normal sets.