Near-homeomorphisms of Nobeling manifolds

TL;DR

This paper characterizes maps between n-dimensional N"obeling manifolds that are approximable by homeomorphisms, advancing understanding of their topological structure.

Contribution

It provides a characterization of maps that can be approximated by homeomorphisms in N"obeling manifolds, a novel result in topological manifold theory.

Findings

Identifies conditions under which maps are approximable by homeomorphisms

Enhances understanding of N"obeling manifold topology

Provides tools for approximating continuous maps by homeomorphisms

Abstract

We characterize maps between $n$-dimensional N\"obeling manifolds that can be approximated by homeomorphisms.