Similarities between 3-manifold and Geometric group theory
3-manifold and Geometric group theory have 17 things in common (in Unionpedia): Abelian group, Annals of Mathematics, Dodecahedron, Finitely generated group, Geometrization conjecture, Group action, Homeomorphism, Hyperbolic geometry, Lie group, Low-dimensional topology, Mathematics, Mikhail Leonidovich Gromov, Mostow rigidity theorem, Pacific Journal of Mathematics, Presentation of a group, Topology, William Thurston.
Abelian group
In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.
3-manifold and Abelian group · Abelian group and Geometric group theory ·
Annals of Mathematics
The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.
3-manifold and Annals of Mathematics · Annals of Mathematics and Geometric group theory ·
Dodecahedron
In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces.
3-manifold and Dodecahedron · Dodecahedron and Geometric group theory ·
Finitely generated group
In algebra, a finitely generated group is a group G that has some finite generating set S so that every element of G can be written as the combination (under the group operation) of finitely many elements of the finite set S and of inverses of such elements.
3-manifold and Finitely generated group · Finitely generated group and Geometric group theory ·
Geometrization conjecture
In mathematics, Thurston's geometrization conjecture states that certain three-dimensional topological spaces each have a unique geometric structure that can be associated with them.
3-manifold and Geometrization conjecture · Geometric group theory and Geometrization conjecture ·
Group action
In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.
3-manifold and Group action · Geometric group theory and Group action ·
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.
3-manifold and Homeomorphism · Geometric group theory and Homeomorphism ·
Hyperbolic geometry
In mathematics, hyperbolic geometry (also called Bolyai–Lobachevskian geometry or Lobachevskian geometry) is a non-Euclidean geometry.
3-manifold and Hyperbolic geometry · Geometric group theory and Hyperbolic geometry ·
Lie group
In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.
3-manifold and Lie group · Geometric group theory and Lie group ·
Low-dimensional topology
In mathematics, low-dimensional topology is the branch of topology that studies manifolds, or more generally topological spaces, of four or fewer dimensions.
3-manifold and Low-dimensional topology · Geometric group theory and Low-dimensional topology ·
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
3-manifold and Mathematics · Geometric group theory and Mathematics ·
Mikhail Leonidovich Gromov
Mikhail Leonidovich Gromov (also Mikhael Gromov, Michael Gromov or Mischa Gromov; Михаи́л Леони́дович Гро́мов; born 23 December 1943), is a French-Russian mathematician known for work in geometry, analysis and group theory.
3-manifold and Mikhail Leonidovich Gromov · Geometric group theory and Mikhail Leonidovich Gromov ·
Mostow rigidity theorem
In mathematics, Mostow's rigidity theorem, or strong rigidity theorem, or Mostow–Prasad rigidity theorem, essentially states that the geometry of a complete, finite-volume hyperbolic manifold of dimension greater than two is determined by the fundamental group and hence unique.
3-manifold and Mostow rigidity theorem · Geometric group theory and Mostow rigidity theorem ·
Pacific Journal of Mathematics
The Pacific Journal of Mathematics (ISSN 0030-8730) is a mathematics research journal supported by a number of American, Asian and Australian universities and research institutes, and currently published on their behalf by Mathematical Sciences Publishers, a non-profit academic publishing organisation.
3-manifold and Pacific Journal of Mathematics · Geometric group theory and Pacific Journal of Mathematics ·
Presentation of a group
In mathematics, one method of defining a group is by a presentation.
3-manifold and Presentation of a group · Geometric group theory and Presentation of a group ·
Topology
In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.
3-manifold and Topology · Geometric group theory and Topology ·
William Thurston
William Paul Thurston (October 30, 1946August 21, 2012) was an American mathematician.
3-manifold and William Thurston · Geometric group theory and William Thurston ·
The list above answers the following questions
- What 3-manifold and Geometric group theory have in common
- What are the similarities between 3-manifold and Geometric group theory
3-manifold and Geometric group theory Comparison
3-manifold has 185 relations, while Geometric group theory has 130. As they have in common 17, the Jaccard index is 5.40% = 17 / (185 + 130).
References
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