Orientability

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Orientable surfaces

Chiral Homeomorphic Surface normal Planes Tori

13 related topics

Orientability of manifolds

Manifold Jacobian determinant Vector bundle Structure group Volume forms

10 related topics

Related concepts

Lorentzian geometry Space orientability Time orientability Causal structure General relativity

10 related topics

Overview

Mathematics Topological spaces Real vector spaces Euclidean spaces Surfaces

19 related topics

Topics to explore

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Overview

Orientable surfaces

Chiral Chirality (mathematics)
Homeomorphic
Surface normal
Planes Plane (mathematics)
Tori Torus
Real projective planes Real projective plane
Klein bottles Klein bottle
Immersed Immersion (mathematics)
Triangulation Triangulation (topology)
Homology Homology (mathematics)
Torsion subgroup
Free abelian group
Möbius band

Orientability of manifolds

Manifold Manifold (mathematics)
Jacobian determinant
Vector bundle
Structure group
Volume forms Volume form
Excision theorem
Long exact sequence
Relative homology
Stiefel–Whitney class
Orientability of general vector bundles Orientation of a vector bundle

Orientable double cover

Orientation of vector bundles

GL ⁡ ( n ) {\displaystyle \operatorname {GL} (n)} GL(n)
Reduced Reduction of the structure group
Matrices Matrix (mathematics)
Determinant
Tangent bundle
Smooth Smooth function

Related concepts

Lorentzian geometry
Space orientability Space orientability?action=edit&redlink=1
Time orientability
Causal structure
General relativity
Spacetime
Pseudo-orthogonal group
Characters Character theory
Section Section (fiber bundle)
Associated bundle

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Map overview Semantic statistics

Nodes67

Edges66

Triples45

Avg. degree1.97

Density0.029851

Components1

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Orientability

Top relations

related to Orientability of differentiable manifolds · 11

Orientability → An, Conversely, GL, If, Jacobian, Similar, Such, That, The, This, When

related to Orientable surfaces · 10

Orientability → An, Euclidean, For, If, More, Möbius, Otherwise, That, This, Thus

related to Homology and the orientability of general manifolds · 6

Orientability → At, For, On, These, They, This

related to Lorentzian geometry · 5

Orientability → Formally, If, In, In Lorentzian, These

related to Orientation and cohomology · 5

Orientability → In, Moreover, Stiefel, This, Whitney

related to Orientation of vector bundles · 3

Orientability → For, GL, Note

is a · 1

Orientability → property of some topological spaces such as real vector spaces

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Important terminology

displaystyle orientation orientable manifold mathbb space two group surface oriented atlas point bundle tangent orientations transition local choice homology vector

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Orientability	is a	property of some topological spaces such as real vector spaces	0.90	text
real vector spaces	instance of	orientability is a property of some topological spaces	0.80	text
Euclidean spaces	instance of	orientability is a property of some topological spaces	0.80	text
surfaces	instance of	orientability is a property of some topological spaces	0.80	text
and more generally manifolds that allows a consistent definition of	instance of	orientability is a property of some topological spaces	0.80	text
Orientability	related to Homology and the orientability of general manifolds	At	0.60	section
Orientability	related to Homology and the orientability of general manifolds	This	0.60	section
Orientability	related to Homology and the orientability of general manifolds	They	0.60	section
Orientability	related to Homology and the orientability of general manifolds	On	0.60	section
Orientability	related to Homology and the orientability of general manifolds	These	0.60	section
Orientability	related to Homology and the orientability of general manifolds	For	0.60	section
Orientability	related to Lorentzian geometry	In Lorentzian	0.60	section

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Orientable surfaces

Orientability of manifolds

Related concepts

Overview

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Topics to explore

Overview

Orientable surfaces

Orientability of manifolds

Orientable double cover

Orientation of vector bundles

Related concepts

Advanced semantic analysis

Map overview Semantic statistics

Orientability

How this topic connects Entity context

Orientability

Top relations

Important terminology Word statistics

Important terminology

Entity relationships Subject–Predicate–Object triples

Related concept clusters Concept neighborhoods

Connections between topic areas Semantic bridges