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- Branched_surface abstract "In mathematics, a branched surface is type of topological space. A small piece of an surface looks topologically (i.e., up to homeomorphism) like ℝ². A small piece of a branched surface, on the other hand, might look like either of the following:ℝ²;the quotient space of two copies of ℝ² modulo the identification of a closed half-space of each with a closed half-space of the other. Needs work.A branched manifold can have a weight assigned to various of its subspaces; if this is done, the space is often called a weighted branched manifold. Weights are non-negative real numbers and are assigned to subspaces N that satisfy the following:N is open.N does not include any points whose only neighborhoods are the quotient space described above.N is maximal with respect to the above two conditions.That is, N is the space from one branching to the next. Weights are assigned so that any if a neighborhood of a point is the quotient space described above, then the sum of the weights of the two unidentified hyperplanes of that neighborhood is the weight of the identified hyperplane space.".
- Branched_surface thumbnail Piece-of-a-branched-surface.png?width=300.
- Branched_surface wikiPageID "1277363".
- Branched_surface wikiPageRevisionID "497541581".
- Branched_surface hasPhotoCollection Branched_surface.
- Branched_surface subject Category:3-manifolds.
- Branched_surface subject Category:Generalized_manifolds.
- Branched_surface subject Category:Geometric_topology.
- Branched_surface type Artifact100021939.
- Branched_surface type Conduit103089014.
- Branched_surface type GeneralizedManifolds.
- Branched_surface type Manifold103717750.
- Branched_surface type Object100002684.
- Branched_surface type Passage103895293.
- Branched_surface type PhysicalEntity100001930.
- Branched_surface type Pipe103944672.
- Branched_surface type Tube104493505.
- Branched_surface type Way104564698.
- Branched_surface type Whole100003553.
- Branched_surface type YagoGeoEntity.
- Branched_surface type YagoPermanentlyLocatedEntity.
- Branched_surface comment "In mathematics, a branched surface is type of topological space. A small piece of an surface looks topologically (i.e., up to homeomorphism) like ℝ². A small piece of a branched surface, on the other hand, might look like either of the following:ℝ²;the quotient space of two copies of ℝ² modulo the identification of a closed half-space of each with a closed half-space of the other.".
- Branched_surface label "Branched surface".
- Branched_surface sameAs m.04phgz.
- Branched_surface sameAs Q4956413.
- Branched_surface sameAs Q4956413.
- Branched_surface sameAs Branched_surface.
- Branched_surface wasDerivedFrom Branched_surface?oldid=497541581.
- Branched_surface depiction Piece-of-a-branched-surface.png.
- Branched_surface isPrimaryTopicOf Branched_surface.