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- Boundary_(topology) abstract "In topology and mathematics in general, the boundary of a subset S of a topological space X is the set of points which can be approached both from S and from the outside of S. More precisely, it is the set of points in the closure of S, not belonging to the interior of S. An element of the boundary of S is called a boundary point of S. The term boundary operation refers to finding or taking the boundary of a set. Notations used for boundary of a set S include bd(S), fr(S), and ∂S. Some authors (for example Willard, in General Topology) use the term frontier, instead of boundary in an attempt to avoid confusion with the concept of boundary used in algebraic topology and manifold theory. However, frontier sometimes refers to a different set, which is the set of boundary points which are not actually in the set; that is, S \ S.A connected component of the boundary of S is called a boundary component of S.One thing to note is that if the set consists of discrete points only, then the set has only a boundary and no interior.".
- Boundary_(topology) thumbnail Runge_theorem.svg?width=300.
- Boundary_(topology) wikiPageID "72824".
- Boundary_(topology) wikiPageLength "7353".
- Boundary_(topology) wikiPageOutDegree "39".
- Boundary_(topology) wikiPageRevisionID "683364705".
- Boundary_(topology) wikiPageWikiLink Algebraic_topology.
- Boundary_(topology) wikiPageWikiLink Base_(topology).
- Boundary_(topology) wikiPageWikiLink Basis_(topology).
- Boundary_(topology) wikiPageWikiLink Bounding_point.
- Boundary_(topology) wikiPageWikiLink Category:General_topology.
- Boundary_(topology) wikiPageWikiLink Clopen_set.
- Boundary_(topology) wikiPageWikiLink Closed_set.
- Boundary_(topology) wikiPageWikiLink Closure_(topology).
- Boundary_(topology) wikiPageWikiLink Complement_(set_theory).
- Boundary_(topology) wikiPageWikiLink Concept.
- Boundary_(topology) wikiPageWikiLink Connected_space.
- Boundary_(topology) wikiPageWikiLink Dense_set.
- Boundary_(topology) wikiPageWikiLink File:AccumulationAndBoundaryPointsOfS.PNG.
- Boundary_(topology) wikiPageWikiLink General_topology.
- Boundary_(topology) wikiPageWikiLink Idempotence.
- Boundary_(topology) wikiPageWikiLink Interior_(topology).
- Boundary_(topology) wikiPageWikiLink Interior_points.
- Boundary_(topology) wikiPageWikiLink Interval_(mathematics).
- Boundary_(topology) wikiPageWikiLink Isolated_point.
- Boundary_(topology) wikiPageWikiLink Lebesgues_density_theorem.
- Boundary_(topology) wikiPageWikiLink Limit_point.
- Boundary_(topology) wikiPageWikiLink Manifold.
- Boundary_(topology) wikiPageWikiLink Manifold_theory.
- Boundary_(topology) wikiPageWikiLink Mathematics.
- Boundary_(topology) wikiPageWikiLink Neighborhood_(topology).
- Boundary_(topology) wikiPageWikiLink Neighbourhood_(mathematics).
- Boundary_(topology) wikiPageWikiLink Nowhere_dense.
- Boundary_(topology) wikiPageWikiLink Nowhere_dense_set.
- Boundary_(topology) wikiPageWikiLink Open_interval.
- Boundary_(topology) wikiPageWikiLink Open_set.
- Boundary_(topology) wikiPageWikiLink Simplex.
- Boundary_(topology) wikiPageWikiLink Simplicial_complex.
- Boundary_(topology) wikiPageWikiLink Singular_homology.
- Boundary_(topology) wikiPageWikiLink Subspace_topology.
- Boundary_(topology) wikiPageWikiLink Topological_manifold.
- Boundary_(topology) wikiPageWikiLink Topological_space.
- Boundary_(topology) wikiPageWikiLink Topology.
- Boundary_(topology) wikiPageWikiLink Venn_diagram.
- Boundary_(topology) wikiPageWikiLink ∂.
- Boundary_(topology) wikiPageWikiLink File:Mandelbrot_Components.svg.
- Boundary_(topology) wikiPageWikiLink File:Runge_theorem.svg.
- Boundary_(topology) wikiPageWikiLinkText "Boundary (topology)".
- Boundary_(topology) wikiPageWikiLinkText "Boundary".
- Boundary_(topology) wikiPageWikiLinkText "boundaries".
- Boundary_(topology) wikiPageWikiLinkText "boundary (topology)".
- Boundary_(topology) wikiPageWikiLinkText "boundary of a set".
- Boundary_(topology) wikiPageWikiLinkText "boundary of".
- Boundary_(topology) wikiPageWikiLinkText "boundary operation".
- Boundary_(topology) wikiPageWikiLinkText "boundary point".
- Boundary_(topology) wikiPageWikiLinkText "boundary points".
- Boundary_(topology) wikiPageWikiLinkText "boundary".
- Boundary_(topology) wikiPageWikiLinkText "boundaryless".
- Boundary_(topology) wikiPageWikiLinkText "bounded".
- Boundary_(topology) wikiPageWikiLinkText "interface".
- Boundary_(topology) wikiPageWikiLinkText "topological boundary".
- Boundary_(topology) hasPhotoCollection Boundary_(topology).
- Boundary_(topology) wikiPageUsesTemplate Template:About.
- Boundary_(topology) wikiPageUsesTemplate Template:Cite_book.
- Boundary_(topology) wikiPageUsesTemplate Template:More_footnotes.
- Boundary_(topology) wikiPageUsesTemplate Template:Reflist.
- Boundary_(topology) subject Category:General_topology.
- Boundary_(topology) hypernym Set.
- Boundary_(topology) comment "In topology and mathematics in general, the boundary of a subset S of a topological space X is the set of points which can be approached both from S and from the outside of S. More precisely, it is the set of points in the closure of S, not belonging to the interior of S. An element of the boundary of S is called a boundary point of S. The term boundary operation refers to finding or taking the boundary of a set. Notations used for boundary of a set S include bd(S), fr(S), and ∂S.".
- Boundary_(topology) label "Boundary (topology)".
- Boundary_(topology) sameAs Hranice_množiny.
- Boundary_(topology) sameAs Rand_(Topologie).
- Boundary_(topology) sameAs Rando_(topologio).
- Boundary_(topology) sameAs Frontera_(topología).
- Boundary_(topology) sameAs Raja_(topoloogia).
- Boundary_(topology) sameAs Frontière_(topologie).
- Boundary_(topology) sameAs שפה_(טופולוגיה).
- Boundary_(topology) sameAs Határ_(matematika).
- Boundary_(topology) sameAs Jaðar_(mengjafræði).
- Boundary_(topology) sameAs Frontiera_(topologia).
- Boundary_(topology) sameAs 境界_(位相空間論).
- Boundary_(topology) sameAs 경계_(위상수학).
- Boundary_(topology) sameAs Rand_(topologie).
- Boundary_(topology) sameAs Brzeg_(matematyka).
- Boundary_(topology) sameAs Fronteira_(matemática).
- Boundary_(topology) sameAs m.0jlzb.
- Boundary_(topology) sameAs Граница_(топология).
- Boundary_(topology) sameAs Hranica_množiny.
- Boundary_(topology) sameAs Rand_(topologi).
- Boundary_(topology) sameAs Границя_(топологія).
- Boundary_(topology) sameAs Điểm_biên.
- Boundary_(topology) sameAs Q875399.
- Boundary_(topology) sameAs Q875399.
- Boundary_(topology) sameAs 边界_(拓扑学).
- Boundary_(topology) wasDerivedFrom Boundary_(topology)?oldid=683364705.
- Boundary_(topology) depiction Runge_theorem.svg.
- Boundary_(topology) isPrimaryTopicOf Boundary_(topology).