# Alexander and Markov Theorems for Generalized Knots, I

## TL;DR

This paper explores the extension of Alexander and Markov theorems to generalized knot theories, aiming to understand their applicability beyond classical knots.

## Contribution

It introduces the framework for defining Alexander and Markov theories within generalized knot theories, expanding the mathematical understanding of knot invariants.

## Key findings

- Established conditions for Alexander theory in generalized knots
- Extended Markov moves to broader knot classes
- Provided initial results on invariants in generalized settings

## Abstract

In this paper we look at which Alexander and Markov theories can be defined for generalized knot theories