Fiibrations property of embedding maps of orbifold charts

TL;DR

This paper introduces the concept of E-fibration embeddings in orbifold chart maps, exploring their fundamental properties, relationships with Hurewicz fibrations, and lifting functions to advance the understanding of orbifold topology.

Contribution

It defines E-fibration embeddings for orbifold charts and investigates their properties and connections with classical fibrations, providing new tools for orbifold topology analysis.

Findings

E-fibration embeddings are well-defined for orbifold chart maps.

Properties such as restriction and product are established for E-fibration embeddings.

Lifting functions of E-fibration embeddings preserve projection properties.

Abstract

In this paper we introduce the notion of Hurewicz fibrations in the class of embedding maps of orbifold charts by giving the concept of E-fibration embedding. We study the fundamental properties of this concept such as the restriction, product and its relationship with Hurewicz fibration, etc. Furthermore, we introduce the notion of lifting functions of E-fibration embedding and study preserving projection property of these lifting functions.