# A homotopy theorem for Oka theory

## TL;DR

This paper establishes a homotopy theorem for sheaves that simplifies and shortens proofs of various Oka principles, including Gromov's Oka principle for elliptic submersions.

## Contribution

It introduces a homotopy theorem for sheaves that advances the theoretical framework of Oka theory and simplifies existing proofs.

## Key findings

- Simplifies proofs of Oka principles
- Provides a new homotopy theorem for sheaves
- Enhances understanding of elliptic submersions

## Abstract

We prove a homotopy theorem for sheaves. Its application shortens and simplifies the proof of many Oka principles such as Gromov's Oka principle for elliptic submersions.