Two-stage spaces and the torus rank conjecture

TL;DR

This paper introduces new families of two-stage spaces that support the torus rank conjecture, advancing understanding in topological and geometric properties related to these spaces.

Contribution

It provides novel examples of two-stage spaces where the torus rank conjecture holds, contributing to the conjecture's validation.

Findings

New families of two-stage spaces confirmed to satisfy the torus rank conjecture

Enhanced understanding of the structure of two-stage spaces in relation to the conjecture

Potential implications for broader classes of spaces in topology

Abstract

In this note, we give some new families of two-stage spaces for which the torus rank conjecture is affirmed.