Fiber orders and compact spaces of uncountable weight

TL;DR

This paper investigates the order relation on fibers of continuous maps and applies it to analyze the structure of compact spaces with uncountable weight, providing new insights into their organization.

Contribution

It introduces a novel order relation on fibers and demonstrates its usefulness in understanding the structure of uncountably weighted compact spaces.

Findings

Characterization of fiber order relations in uncountable weight spaces

New structural insights into compact spaces of uncountable weight

Applications of fiber order analysis to classify such spaces

Abstract

We study an order relation on the fibers of a continuous map and its application to the study of the structure of compact spaces of uncountable weight.