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- Isoperimetric_dimension abstract "In mathematics, the isoperimetric dimension of a manifold is a notion of dimension that tries to capture how the large-scale behavior of the manifold resembles that of a Euclidean space (unlike the topological dimension or the Hausdorff dimension which compare different local behaviors against those of the Euclidean space).In the Euclidean space, the isoperimetric inequality says that of all bodies with the same volume, the ball has the smallest surface area. In other manifolds it is usually very difficult to find the precise body minimizing the surface area, and this is not what the isoperimetric dimension is about. The question we will ask is, what is approximately the minimal surface area, whatever the body realizing it might be.".
- Isoperimetric_dimension wikiPageExternalLink iso.pdf..
- Isoperimetric_dimension wikiPageExternalLink 85334.
- Isoperimetric_dimension wikiPageExternalLink jungle.html.
- Isoperimetric_dimension wikiPageID "945225".
- Isoperimetric_dimension wikiPageLength "7456".
- Isoperimetric_dimension wikiPageOutDegree "29".
- Isoperimetric_dimension wikiPageRevisionID "702637461".
- Isoperimetric_dimension wikiPageWikiLink Binary_tree.
- Isoperimetric_dimension wikiPageWikiLink Cartesian_product.
- Isoperimetric_dimension wikiPageWikiLink Category:Dimension.
- Isoperimetric_dimension wikiPageWikiLink Category:Mathematical_analysis.
- Isoperimetric_dimension wikiPageWikiLink Cayley_graph.
- Isoperimetric_dimension wikiPageWikiLink Cheeger_constant.
- Isoperimetric_dimension wikiPageWikiLink Differentiable_manifold.
- Isoperimetric_dimension wikiPageWikiLink Euclidean_space.
- Isoperimetric_dimension wikiPageWikiLink Finitely_generated_group.
- Isoperimetric_dimension wikiPageWikiLink Glossary_of_Riemannian_and_metric_geometry.
- Isoperimetric_dimension wikiPageWikiLink Glossary_of_graph_theory.
- Isoperimetric_dimension wikiPageWikiLink Graph_(discrete_mathematics).
- Isoperimetric_dimension wikiPageWikiLink Group_(mathematics).
- Isoperimetric_dimension wikiPageWikiLink Growth_rate_(group_theory).
- Isoperimetric_dimension wikiPageWikiLink Hausdorff_dimension.
- Isoperimetric_dimension wikiPageWikiLink Hyperbolic_geometry.
- Isoperimetric_dimension wikiPageWikiLink Isoperimetric_inequality.
- Isoperimetric_dimension wikiPageWikiLink Jungle_gym.
- Isoperimetric_dimension wikiPageWikiLink Lebesgue_covering_dimension.
- Isoperimetric_dimension wikiPageWikiLink Lie_group.
- Isoperimetric_dimension wikiPageWikiLink Manifold.
- Isoperimetric_dimension wikiPageWikiLink Mathematics.
- Isoperimetric_dimension wikiPageWikiLink Nicholas_Varopoulos.
- Isoperimetric_dimension wikiPageWikiLink Random_walk.
- Isoperimetric_dimension wikiPageWikiLink Real_line.
- Isoperimetric_dimension wikiPageWikiLink Riemannian_manifold.
- Isoperimetric_dimension wikiPageWikiLink Unit_circle.
- Isoperimetric_dimension wikiPageWikiLinkText "Connections to isoperimetric inequalities".
- Isoperimetric_dimension wikiPageWikiLinkText "Isoperimetric dimension".
- Isoperimetric_dimension wikiPageWikiLinkText "Varopoulos's theorem in isoperimetry".
- Isoperimetric_dimension wikiPageWikiLinkText "here".
- Isoperimetric_dimension wikiPageUsesTemplate Template:Citation_needed.
- Isoperimetric_dimension wikiPageUsesTemplate Template:Main.
- Isoperimetric_dimension subject Category:Dimension.
- Isoperimetric_dimension subject Category:Mathematical_analysis.
- Isoperimetric_dimension hypernym Notion.
- Isoperimetric_dimension type Country.
- Isoperimetric_dimension type Field.
- Isoperimetric_dimension comment "In mathematics, the isoperimetric dimension of a manifold is a notion of dimension that tries to capture how the large-scale behavior of the manifold resembles that of a Euclidean space (unlike the topological dimension or the Hausdorff dimension which compare different local behaviors against those of the Euclidean space).In the Euclidean space, the isoperimetric inequality says that of all bodies with the same volume, the ball has the smallest surface area.".
- Isoperimetric_dimension label "Isoperimetric dimension".
- Isoperimetric_dimension sameAs Q3707726.
- Isoperimetric_dimension sameAs Dimensione_isoperimetrica.
- Isoperimetric_dimension sameAs m.03s680.
- Isoperimetric_dimension sameAs Q3707726.
- Isoperimetric_dimension wasDerivedFrom Isoperimetric_dimension?oldid=702637461.
- Isoperimetric_dimension isPrimaryTopicOf Isoperimetric_dimension.