When is the underlying space of an orbifold a manifold with boundary?

TL;DR

This paper investigates the conditions under which the underlying space of an orbifold can be classified as a manifold with boundary across various mathematical categories.

Contribution

It provides a comprehensive analysis of criteria determining when orbifold underlying spaces are manifolds with boundary, filling a gap in the understanding of orbifold topology.

Findings

Identifies key conditions for orbifold underlying spaces to be manifolds with boundary

Classifies categories where these conditions hold

Enhances understanding of orbifold boundary structures

Abstract

We answer the question of when the underlying space of an orbifold is a manifold with boundary in several categories.