Category:Definitions/Lipschitz Equivalence
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This category contains definitions related to Lipschitz Equivalence.
Related results can be found in Category:Lipschitz Equivalence.
Let $M_1 = \struct {A, d_1}$ and $M_2 = \struct {A, d_2}$ be metric spaces on the same underlying set $A$.
Let $\exists h, k \in \R_{>0}$ such that:
- $\forall x, y \in A: h \map {d_2} {x, y} \le \map {d_1} {x, y} \le k \map {d_2} {x, y}$
Then $d_1$ and $d_2$ are described as Lipschitz equivalent.
Pages in category "Definitions/Lipschitz Equivalence"
The following 9 pages are in this category, out of 9 total.
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- Definition:Lipschitz Equivalence
- Definition:Lipschitz Equivalence (Mapping)
- Definition:Lipschitz Equivalence/Metric Spaces
- Definition:Lipschitz Equivalence/Metrics
- Definition:Lipschitz Equivalence/Metrics/Definition 1
- Definition:Lipschitz Equivalence/Metrics/Definition 2
- Definition:Lipschitz Equivalence/Terminology
- Definition:Lipschitz Equivalent Metric Spaces
- Definition:Lipschitz Equivalent Metrics