Covering space

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Applications

Charts on SO(3)Rotation group Navigation Nautical engineering Aerospace engineering

13 related topics

Definition

Open neighborhood Discrete space Disjoint union Homeomorphism Connected

15 related topics

Properties

Non-orientable manifold Lie group Lie group homomorphism Graph Isomorphic

12 related topics

Overview

Topology Map Topological spaces Locally Projection

55 related topics

Topics to explore

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Overview

Topology
Map Continuous function
Topological spaces Topological space
Locally Local property
Projection Projection (mathematics)
Local homeomorphisms Local homeomorphism
Abuse of terminology
Étalé space
Complex analysis
Analytic continuation
Riemann Bernhard Riemann
Multivalued Multivalued function
Riemann surfaces Riemann surface
Geometry
Branched coverings Branched covering
Manifolds Manifold
Orbifolds Orbifold
Morphisms Morphism
Algebraic topology
Fundamental group
Homotopy lifting property
Homotopy groups
S 1 {\displaystyle S^{1}} Circle
R {\displaystyle \mathbb {R} } Real number
Below Covering space
Galois correspondence Galois connection
Complex manifolds Complex manifold
Charts Chart (mathematics)
Holomorphic Holomorphic function
Compact Riemann surfaces Compact riemann surface

Definition

Open neighborhood Neighbourhood (mathematics)
Discrete space
Disjoint union Disjoint union (topology)
Homeomorphism
Connected Connected space
Surjective
Cardinality
Path-connected Path connected
Fiber bundle
Simply connected Simply connected space
Universal property
Commutes Commutative diagram
Group Group (mathematics)
Free Group action (mathematics)
Principal G {\displaystyle G} -bundle Principal bundle

Examples

Properties

Universal covering

Locally simply connected Locally simply connected space
Final topology
Freely Free group action

G-coverings

Smooth coverings

Smooth manifolds
Boundary Boundary of a manifold
Smooth map

Galois correspondence

Conjugate Conjugacy class

Classification

Applications

Advanced semantic analysis

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Map overview Semantic statistics

Nodes127

Edges126

Triples25

Avg. degree1.98

Density0.015748

Components1

How this topic connects Entity context

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Covering space

Top relations

has application · 13

Covering space → An, Euler, However, RP3, S3, SO, Specifically, Spin, T3, This, Thus, Topologically, Z/2

related to Examples · 4

Covering space → Coverings, For, Likewise, The

related to Equivalence of coverings · 3

Covering space → Both, If, Let

related to Local homeomorphism · 2

Covering space → It, Since

see also · 2

Covering space → Bethe, Cayley

is a · 1

Covering space → special kind of étalé space.Covering spaces first arose in the context of complex analysis

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

displaystyle covering rightarrow group map space pi mathbb connected tilde deck coverings spaces operatorname gamma universal homeomorphism every cong called

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Covering space	is a	special kind of étalé space.Covering spaces first arose in the context of complex analysis	0.90	text
Covering space	has application	An	0.60	section
Covering space	has application	SO	0.60	section
Covering space	has application	This	0.60	section
Covering space	has application	Topologically	0.60	section
Covering space	has application	RP3	0.60	section
Covering space	has application	Z/2	0.60	section
Covering space	has application	S3	0.60	section
Covering space	has application	Spin	0.60	section
Covering space	has application	Thus	0.60	section
Covering space	has application	However	0.60	section
Covering space	has application	Euler	0.60	section

Related concept clusters Concept neighborhoods

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Connections between topic areas Semantic bridges

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Min side: 3

Research this topic

Explore this topic

Applications

Definition

Properties

Overview

Key facts & relationships

Topics to explore

Overview

Definition

Examples

Properties

Universal covering

G-coverings

Smooth coverings

Galois correspondence

Classification

Applications

Advanced semantic analysis

Map overview Semantic statistics

Covering space

How this topic connects Entity context

Covering space

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