Large inductive dimension of the Smirnov remainder

TL;DR

This paper investigates the large inductive dimension of the Smirnov compactification's remainder for Euclidean spaces and explores its applications.

Contribution

It provides new insights into the dimensional properties of the Smirnov remainder and demonstrates its relevance through specific applications.

Findings

Determined the large inductive dimension of the Smirnov remainder.

Established a connection between the dimension and certain topological properties.

Presented an application illustrating the theoretical results.

Abstract

The purpose of this paper is to investigate the large inductive dimension of the remainder of the Smirnov compactification of the n-dimensional Euclidean space with the usual metric, and give an application of it.