---
date: '2025-07-14'
description: higher dimensional generalization of category, where composition of morphism is associative up to natural isomorphism
id: bordism bicategories
modified: 2026-06-05 15:08:26 GMT-04:00
tags:
  - math/topology
  - math
title: bordism bicategories
created: '2025-07-14'
published: '2025-07-14'
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[Extended 3-dimensional bordism as the theory of modular objects](https://arxiv.org/abs/1411.0945) \[@bartlett2014extended3dimensionalbordismtheory\] 

In the context of [[thoughts/manifold]], two manifolds are considered _bordant_ if their disjoint union forms the boundary of a higher dimensional manifold.