On some problems related to the Hilbert-Smith conjecture

TL;DR

This paper links the Hilbert-Smith conjecture for finite-dimensional orbit spaces to algebraic topology problems, providing a new approach to understanding this longstanding mathematical question.

Contribution

It reduces the Hilbert-Smith conjecture in finite-dimensional cases to algebraic topology problems, offering a novel perspective.

Findings

Reduction of the conjecture to algebraic topology problems

New approach to the Hilbert-Smith conjecture

Potential pathways for future research

Abstract

We present a reduction of the Hilbert-Smith conjecture in the case of the finite dimensional orbit space to some algebraic topology problems.