Local k-connectedness of an inverse limit of polyhedra

TL;DR

This paper presents a straightforward condition to determine when an inverse limit of polyhedra is locally k-connected, aiding in understanding the topological properties of complex spaces.

Contribution

It introduces a new, easily checkable criterion for local k-connectedness in inverse limits of polyhedra, advancing topological analysis methods.

Findings

Provides a verifiable condition for local k-connectedness.

Simplifies analysis of inverse limit spaces.

Enhances understanding of polyhedral inverse limits.

Abstract

We provide an easily verifiable condition for local $k$-connectedness of an inverse limit of polyhedra.