Faster access than browser!Similarities between Real projective plane and Topology
Real projective plane and Topology have 17 things in common (in Unionpedia): Covering space, Cross-cap, Euclidean space, Euler characteristic, Fundamental group, Genus (mathematics), Geometry, Homeomorphism, Klein bottle, Manifold, Mathematics, Orientability, Polyhedron, Projective plane, Sphere, Surface (topology), Torus.
Covering space
In mathematics, more specifically algebraic topology, a covering map (also covering projection) is a continuous function p from a topological space, C, to a topological space, X, such that each point in X has an open neighbourhood evenly covered by p (as shown in the image); the precise definition is given below.
Covering space and Real projective plane · Covering space and Topology ·
Cross-cap
In mathematics, a cross-cap is a two-dimensional surface in 3-space that is one-sided and the continuous image of a Möbius strip that intersects itself in an interval.
Cross-cap and Real projective plane · Cross-cap and Topology ·
Euclidean space
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
Euclidean space and Real projective plane · Euclidean space and Topology ·
Euler characteristic
In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent.
Euler characteristic and Real projective plane · Euler characteristic and Topology ·
Fundamental group
In the mathematical field of algebraic topology, the fundamental group is a mathematical group associated to any given pointed topological space that provides a way to determine when two paths, starting and ending at a fixed base point, can be continuously deformed into each other.
Fundamental group and Real projective plane · Fundamental group and Topology ·
Genus (mathematics)
In mathematics, genus (plural genera) has a few different, but closely related, meanings.
Genus (mathematics) and Real projective plane · Genus (mathematics) and Topology ·
Geometry
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
Geometry and Real projective plane · Geometry and Topology ·
Homeomorphism
In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.
Homeomorphism and Real projective plane · Homeomorphism and Topology ·
Klein bottle
In topology, a branch of mathematics, the Klein bottle is an example of a non-orientable surface; it is a two-dimensional manifold against which a system for determining a normal vector cannot be consistently defined.
Klein bottle and Real projective plane · Klein bottle and Topology ·
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point.
Manifold and Real projective plane · Manifold and Topology ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
Mathematics and Real projective plane · Mathematics and Topology ·
Orientability
In mathematics, orientability is a property of surfaces in Euclidean space that measures whether it is possible to make a consistent choice of surface normal vector at every point.
Orientability and Real projective plane · Orientability and Topology ·
Polyhedron
In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.
Polyhedron and Real projective plane · Polyhedron and Topology ·
Projective plane
In mathematics, a projective plane is a geometric structure that extends the concept of a plane.
Projective plane and Real projective plane · Projective plane and Topology ·
Sphere
A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").
Real projective plane and Sphere · Sphere and Topology ·
Surface (topology)
In topology and differential geometry, a surface is a two-dimensional manifold, and, as such, may be an "abstract surface" not embedded in any Euclidean space.
Real projective plane and Surface (topology) · Surface (topology) and Topology ·
Torus
In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.
The list above answers the following questions
- What Real projective plane and Topology have in common
- What are the similarities between Real projective plane and Topology
Real projective plane and Topology Comparison
Real projective plane has 56 relations, while Topology has 162. As they have in common 17, the Jaccard index is 7.80% = 17 / (56 + 162).
References
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