query: Topologically equivalent and lipschitz equivalent.
positive_passages.docid: 146967
positive_passages.text: Understanding equivalent metric spaces
negative_passages.docid: 6415
negative_passages.text: Distance function is continuous in topology induced by the metric
negative_passages.docid: 51391
negative_passages.text: Bounded derivative implies Lipschitz
negative_passages.docid: 88028
negative_passages.text: Topology - closures of intervals with the order topology
negative_passages.docid: 85713
negative_passages.text: Showing Parallelism is an equivalence relation in $\Bbb R ^2$
negative_passages.docid: 39010
negative_passages.text: Metrization of the cofinite topology
negative_passages.docid: 42938
negative_passages.text: Lipschitz Condition and Optimization
negative_passages.docid: 157322
negative_passages.text: Translation invariant measures on $\mathbb R$.
negative_passages.docid: 18334
negative_passages.text: Equivalence between CH and existence of certain sets in $\mathbb{R}^2$
negative_passages.docid: 57468
negative_passages.text: Continuous homorphisms between topological groups.
negative_passages.docid: 59859
negative_passages.text: Locally Lipschitz implies continuity. Does the converse implication hold?
negative_passages.docid: 154978
negative_passages.text: Some equivalent formulations of compactness of a metric space
negative_passages.docid: 1864
negative_passages.text: Proving $f$ is Lipschitz given $f_{n}\rightarrow f$ and $f_{n}$ is uniformly Lipschitz
negative_passages.docid: 130335
negative_passages.text: Intuitive idea of the Lipschitz function
negative_passages.docid: 144548
negative_passages.text: topological structure on smooth manifolds
negative_passages.docid: 147961
negative_passages.text: Characterizing simply connected spaces
negative_passages.docid: 81423
negative_passages.text: Completeness and Topological Equivalence