# Tensegrities on the space of generic functions

**Authors:** Oleg Karpenkov

arXiv: 1905.11262 · 2019-05-28

## TL;DR

This paper introduces a new concept of self-stresses for set functions with generic critical points, inspired by Maxwell frameworks and differential forms, focusing on the two-dimensional case.

## Contribution

It presents a novel notion of self-stresses on set functions, connecting classical Maxwell frameworks with differential forms in a new context.

## Key findings

- Defines self-stresses on set functions with critical points
- Links Maxwell frameworks to differential forms in 2D
- Extends definitions to higher dimensions

## Abstract

In this small note we introduce a notion of self-stresses on the set functions in two variables with generic critical points. The notion naturally comes from a rather exotic representation of classical Maxwell frameworks in terms of differential forms. For the sake of clarity we work in the two-dimensional case only. However all the definitions for the higher dimensional case are straightforward.

## Full text

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## Figures

2 figures with captions in the complete paper: https://tomesphere.com/paper/1905.11262/full.md

## References

9 references — full list in the complete paper: https://tomesphere.com/paper/1905.11262/full.md

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Source: https://tomesphere.com/paper/1905.11262