# Topological Surgery in Nature

**Authors:** Stathis Antoniou, Sofia Lambropoulou

arXiv: 1706.04078 · 2018-09-24

## TL;DR

This paper extends the formal framework of topological surgery to better model and analyze natural phenomena that exhibit topological changes, providing new definitions and schematic models.

## Contribution

It introduces new notions and definitions to formalize topological surgery, enabling better modeling of natural processes involving topological transformations.

## Key findings

- New definitions for topological surgery are proposed.
- Schematic models capture common features of natural processes.
- Theoretical framework for analyzing topological changes in nature.

## Abstract

In this paper, we extend the formal definition of topological surgery by introducing new notions in order to model natural phenomena exhibiting it. On the one hand, the common features of the presented natural processes are captured by our schematic models and, on the other hand, our new definitions provide the theoretical setting for examining the topological changes involved in these processes.

## Full text

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## Figures

11 figures with captions in the complete paper: https://tomesphere.com/paper/1706.04078/full.md

## References

14 references — full list in the complete paper: https://tomesphere.com/paper/1706.04078/full.md

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Source: https://tomesphere.com/paper/1706.04078