# Category:Lipschitz Equivalence

This category contains results about Lipschitz Equivalence.

Let $M_1 = \left({A_1, d_1}\right)$ and $M_2 = \left({A_2, d_2}\right)$ be metric spaces.

Let $f: M_1 \to M_2$ be a mapping such that $\exists h, k \in \R_{>0}$ such that:

$\forall x, y \in A: h d_2 \left({f \left({x}\right), f \left({y}\right)}\right) \le d_1 \left({x, y}\right) \le k d_2 \left({f \left({x}\right), f \left({y}\right)}\right)$

Then $f$ is a Lipschitz equivalence, and $M_1$ and $M_2$ are described as Lipschitz equivalent.

## Subcategories

This category has only the following subcategory.

## Pages in category "Lipschitz Equivalence"

The following 5 pages are in this category, out of 5 total.