WikiLean Articles · Brain · Recent changes · Proposals · Flags · Stats · About

Diff — Metric space

Revision #3218 → #3739 · back to history

modifiedNagata–Smirnov metrization theoreme7a74f4930df
FieldFrom #3218To #3739
noteGrep for `NagataSmirnov` returns no matches; only Urysohn's metrization theorem is in Mathlib.Loogle for `NagataSmirnov` returns no matches; only Urysohn's metrization theorem is in Mathlib.
modifiedQuasi-isometric embeddingf81c9019484c
FieldFrom #3218To #3739
noteGrep for `QuasiIsometry` returns no matches in Mathlib.Loogle for `QuasiIsometry` returns no matches in Mathlib.
modifiedCayley graphdb1f8fee332c
FieldFrom #3218To #3739
mathlib.decl—SimpleGraph.mulCayley
mathlib.match_kind—exact
mathlib.module—Mathlib.Combinatorics.SimpleGraph.Cayley
noteNo Cayley graph of a group with respect to a generating set is constructed in Mathlib.`SimpleGraph.mulCayley s` (and `SimpleGraph.addCayley`) defines the Cayley graph of `M` with generating set `s`.
statusnot_formalizedformalized
modifiedWord metricc238cf6888f1
FieldFrom #3218To #3739
noteNo `wordMetric` and no Cayley-graph metric construction in Mathlib.Although `SimpleGraph.mulCayley` exists, no `wordMetric` combining Cayley graph with shortest-path distance is registered as a metric-space instance.
modifiedLevenshtein distance6f2012bf2fef
FieldFrom #3218To #3739
noteNo Levenshtein/edit-distance declaration exists in Mathlib; `decl_exists` and grep for `Levenshtein`/`EditDistance` return no matches.No Levenshtein/edit-distance declaration exists in Mathlib; loogle for `Levenshtein`/`editDistance` returns no matches.
addedRiemannian manifold as a metric space3cb1c2ca2d5a
addedUniform continuity (in the lead)ddb4104cf670
addedContraction has a unique fixed point3002d5613bda
addedCayley–Klein metric2685be75041b
addedSequential compactness equals compactness in metric spacesfeae36c7e49f