# Classification of exterior and proper fibrations

## TL;DR

This paper classifies exterior fibrations within the exterior homotopy category and extends this classification to proper fibrations between CW-complexes, providing a comprehensive understanding of their structure.

## Contribution

It introduces a classification framework for exterior fibrations and applies it to proper fibrations between CW-complexes, advancing the theory of fibrations in algebraic topology.

## Key findings

- Classification of exterior fibrations achieved
- Proper fibrations between CW-complexes classified
- Enhanced understanding of fibration structures in topology

## Abstract

We classify exterior fibrations in the exterior homotopy category. As a result we also classify proper fibrations between CW-complexes.