On the Mathematics of Higher Structures
Nils A. Baas
TL;DR
This paper explores the relationship between hyperstructures, the $ ext{H}$-principle, and known mathematical structures, aiming to introduce new ideas and directions for future research in higher mathematics.
Contribution
It relates hyperstructures and the $ ext{H}$-principle to existing structures and proposes potential new mathematical structures, opening new avenues for investigation.
Findings
Hyperstructures connected to known mathematical frameworks
Introduction of the $ ext{H}$-principle in the context of higher structures
Suggestions for new mathematical structures and research directions
Abstract
In this paper we will relate hyperstructures and the general -principle to known mathematical structures, and also discuss how they may give rise to new mathematical structures. The main purpose is to point out new ideas and directions of investigation.
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