Comparison of some families of real functions in algebraic terms
Abstract
We compare families of functions related to the Darboux
property (functions having the $\mathcal{A}-Darboux property) with
family of strong Swiątkowski functions using the notions of strong
c-algebrability. We also compare families of functions associated
with density topologies.
property (functions having the $\mathcal{A}-Darboux property) with
family of strong Swiątkowski functions using the notions of strong
c-algebrability. We also compare families of functions associated
with density topologies.