Z-set unknotting in uncountable products of reals

TL;DR

This paper extends the Z-set unknotting theorem to uncountable products of real numbers, broadening the understanding of topological properties in higher-dimensional product spaces.

Contribution

It introduces a version of the Z-set unknotting theorem applicable to uncountable products of reals, a significant generalization of existing results.

Findings

Established a Z-set unknotting theorem for uncountable products of reals

Demonstrated topological properties of uncountable product spaces

Extended classical theorems to higher cardinalities

Abstract

We prove a version of $Z$-set unknotting theorem for uncountable products of real numbers.