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- Hilbert's_fifth_problem abstract "Hilbert's fifth problem is the fifth mathematical problem from the problem list publicized in 1900 by mathematician David Hilbert, and concerns the characterization of Lie groups. The theory of Lie groups describes continuous symmetry in mathematics; its importance there and in theoretical physics (for example quark theory) grew steadily in the twentieth century. In rough terms, Lie group theory is the common ground of group theory and the theory of topological manifolds. The question Hilbert asked was an acute one of making this precise: is there any difference if a restriction to smooth manifolds is imposed? The expected answer was in the negative (the classical groups, the most central examples in Lie group theory, are smooth manifolds). This was eventually confirmed in the early 1950s. Since the precise notion of "manifold" was not available to Hilbert, there is room for some debate about the formulation of the problem in contemporary mathematical language.".
- Hilbert's_fifth_problem wikiPageExternalLink v=onepage&q&f=true.
- Hilbert's_fifth_problem wikiPageExternalLink 1200690171.
- Hilbert's_fifth_problem wikiPageID "152760".
- Hilbert's_fifth_problem wikiPageRevisionID "598108047".
- Hilbert's_fifth_problem hasPhotoCollection Hilbert's_fifth_problem.
- Hilbert's_fifth_problem subject Category:Differential_structures.
- Hilbert's_fifth_problem subject Category:Hilbert's_problems.
- Hilbert's_fifth_problem subject Category:Lie_groups.
- Hilbert's_fifth_problem type Abstraction100002137.
- Hilbert's_fifth_problem type Attribute100024264.
- Hilbert's_fifth_problem type Condition113920835.
- Hilbert's_fifth_problem type Difficulty114408086.
- Hilbert's_fifth_problem type Group100031264.
- Hilbert's_fifth_problem type Hilbert'sProblems.
- Hilbert's_fifth_problem type LieGroups.
- Hilbert's_fifth_problem type Problem114410605.
- Hilbert's_fifth_problem type State100024720.
- Hilbert's_fifth_problem comment "Hilbert's fifth problem is the fifth mathematical problem from the problem list publicized in 1900 by mathematician David Hilbert, and concerns the characterization of Lie groups. The theory of Lie groups describes continuous symmetry in mathematics; its importance there and in theoretical physics (for example quark theory) grew steadily in the twentieth century. In rough terms, Lie group theory is the common ground of group theory and the theory of topological manifolds.".
- Hilbert's_fifth_problem label "Cinquième problème de Hilbert".
- Hilbert's_fifth_problem label "Hilbert's fifth problem".
- Hilbert's_fifth_problem label "Quinto problema de Hilbert".
- Hilbert's_fifth_problem label "希尔伯特第五问题".
- Hilbert's_fifth_problem sameAs Cinquième_problème_de_Hilbert.
- Hilbert's_fifth_problem sameAs Quinto_problema_de_Hilbert.
- Hilbert's_fifth_problem sameAs m.013xys.
- Hilbert's_fifth_problem sameAs Q3893331.
- Hilbert's_fifth_problem sameAs Q3893331.
- Hilbert's_fifth_problem sameAs Hilbert's_fifth_problem.
- Hilbert's_fifth_problem wasDerivedFrom Hilbert's_fifth_problem?oldid=598108047.
- Hilbert's_fifth_problem isPrimaryTopicOf Hilbert's_fifth_problem.