2022/01/26 by Bergjord, Rachel, Zabka, Matthew
#FOS: Mathematics #General Topology (math.GN)
paper · doi:10.48550/arxiv.2201.10977
The most general definition of a continuous function requires that the preimage of any open set be open. Thus, to discuss continuity in the abstract, it is necessary to first define a topology, which tells us which sets in a space are open. Such a topology is given by three axioms that describe how the open sets in a topology behave. In this paper we shall consider a change to one of these axioms and determine how this change affects the continuity of a function.