manifold with boundary

См. также в других словарях:

• Boundary — (plural: boundaries) may refer to: Border in psychology, Personal boundaries in mathematics, Boundary (topology), the closure minus the interior of a subset of a topological space; an edge in the topology of manifolds, as in the case of a… …   Wikipedia

• Manifold — For other uses, see Manifold (disambiguation). The sphere (surface of a ball) is a two dimensional manifold since it can be represented by a collection of two dimensional maps. In mathematics (specifically in differential geometry and topology),… …   Wikipedia

• Manifold decomposition — In topology, a branch of mathematics, a manifold M may be decomposed or split by writing M as a combination of smaller pieces. When doing so, one must specify both what those pieces are and how they are put together to form M. Manifold… …   Wikipedia

• Topological manifold — In mathematics, a topological manifold is a Hausdorff topological space which looks locally like Euclidean space in a sense defined below. Topological manifolds form an important class of topological spaces with applications throughout… …   Wikipedia

• Closed manifold — See also: Classification of manifolds#Point set In mathematics, a closed manifold is a type of topological space, namely a compact manifold without boundary. In contexts where no boundary is possible, any compact manifold is a closed manifold.… …   Wikipedia

• Double (manifold) — For the equipment used to connect two air cylinders in SCUBA diving, see Manifold (scuba). In the subject of manifold theory in mathematics, if M is a manifold with boundary, its double is obtained by gluing two copies of M together along their… …   Wikipedia

• E₈ manifold — In mathematics, the E8 manifold is the unique compact, simply connected topological 4 manifold with intersection form the E 8 lattice. The E8 manifold was discovered by Michael Freedman in 1982. Rokhlin s theorem shows that it has no smooth… …   Wikipedia

• Boundary representation — In solid modeling and computer aided design, boundary representation often abbreviated as B rep or BREP is a method for representing shapes using the limits. A solid is represented as a collection of connected surface elements, the boundary… …   Wikipedia

• Boundary (topology) — For a different notion of boundary related to manifolds, see that article. In topology, 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 formally, it is… …   Wikipedia

• Homology manifold — In mathematics, a homology manifold (or generalized manifold)is a locally compact topological space X that looks locally like a topological manifold from the point of view of homology theory.DefinitionA homology G manifold (without boundary) of… …   Wikipedia

• Mazur manifold — In differential topology, a branch of mathematics, a Mazur manifold is a contractible, compact, smooth 4 dimensional manifold which is not diffeomorphic to the standard 4 ball. The boundary of a Mazur manifold is necessarily a homology 3 sphere.… …   Wikipedia