# Span equivalence between algebras for n-globular operads

## TL;DR

This paper introduces a new form of equivalence for algebras associated with n-globular operads, extending the concept of categorical equivalence to higher-dimensional algebraic structures.

## Contribution

It defines a novel equivalence notion for n-globular operad algebras, generalizing traditional category equivalence.

## Key findings

- The new equivalence extends categorical concepts to higher-dimensional algebra.
- It unifies existing notions of algebraic equivalence in globular operads.
- Provides a framework for comparing complex algebraic structures in higher category theory.

## Abstract

We define a new equivalence between algebras for n-globular operads which is suggested in [Cottrell 2015], and show that it is a generalization of ordinary equivalence between categories.