The fiber homotopically equivalent relation for fiber bundles

TL;DR

This paper investigates the fiber homotopically equivalent relation in fiber bundle theory, focusing on the role of the polyhedron property over suspensions of polyhedron spaces.

Contribution

It introduces a new perspective on fiber homotopically equivalence using the polyhedron property in fiber bundles over suspensions.

Findings

Established conditions for fiber homotopic equivalence

Linked polyhedron properties to fiber bundle relations

Extended theory to suspensions of polyhedron spaces

Abstract

In this paper, we will give the polyhedron property role to satisfy fiber homotopically equivalent relation in fiber bundle theory over suspensions of polyhedron space.