# Width of codimension two knots

## TL;DR

This paper generalizes the concept of width from classical knots to higher-dimensional codimension two knots and demonstrates the existence of knots with arbitrarily large width in each dimension.

## Contribution

It introduces a higher-dimensional definition of width and proves the existence of knots with arbitrarily large width in all dimensions.

## Key findings

- Existence of knots with arbitrarily large width in each dimension.
- Extension of width concept to higher-dimensional knots.

## Abstract

We extend the classical definition of {\it width} to higher dimensional, smooth codimension 2 knots and show in each dimension there are knots of arbitrarily large width.