Year: 2025
Type: article
Abstract: The purpose of this article is to present a result on the propagation of the monotonicity of a function, between topological spaces, from a dense subset of its range to the whole range. We show that the propagation occurs provided that the domain is pre-normal, the function is open-and-closed and the preimage of each point is closed. No assumption is superfluous.
Author: Marcio Colombo Fenille
Institution: Universidade Federal de Uberlândia
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4410509258