Some Consequences of Restrictions on Digitally Continuous Functions

TL;DR

This paper investigates the effects of imposing certain restrictions on digitally continuous functions, revealing implications that extend to analogous results in topological spaces.

Contribution

It introduces new restrictions on digitally continuous functions and demonstrates their consequences, with some results applicable to topological spaces.

Findings

Restrictions affect the behavior of digitally continuous functions

Results extend to analogous topological space scenarios

Provides insights into digital topology and its relation to classical topology

Abstract

We study the consequences of some restrictions on digitally continuous functions. One of our results modifies easily to yield an analogous result for topological spaces.