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- Hilberts_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.".
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- Hilberts_fifth_problem wikiPageWikiLink Abelian_group.
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- Hilberts_fifth_problem wikiPageWikiLink Category:Differential_structures.
- Hilberts_fifth_problem wikiPageWikiLink Category:Hilberts_problems.
- Hilberts_fifth_problem wikiPageWikiLink Category:Lie_groups.
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- Hilberts_fifth_problem wikiPageWikiLink Closed_manifold.
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- Hilberts_fifth_problem wikiPageWikiLink Smoothness.
- Hilberts_fifth_problem wikiPageWikiLink Springer_Science+Business_Media.
- Hilberts_fifth_problem wikiPageWikiLink Theoretical_physics.
- Hilberts_fifth_problem wikiPageWikiLink Topological_group.
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- Hilberts_fifth_problem wikiPageWikiLinkText "5th".
- Hilberts_fifth_problem wikiPageWikiLinkText "Fifth Problem".
- Hilberts_fifth_problem wikiPageWikiLinkText "Hilbert's fifth problem".
- Hilberts_fifth_problem wikiPageWikiLinkText "continuous group".
- Hilberts_fifth_problem wikiPageWikiLinkText "fifth problem".
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- Hilberts_fifth_problem subject Category:Differential_structures.
- Hilberts_fifth_problem subject Category:Hilberts_problems.
- Hilberts_fifth_problem subject Category:Lie_groups.
- Hilberts_fifth_problem hypernym Problem.
- Hilberts_fifth_problem type Disease.
- Hilberts_fifth_problem type Redirect.
- Hilberts_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.".
- Hilberts_fifth_problem label "Hilbert's fifth problem".
- Hilberts_fifth_problem label "Hilberts fifth problem".
- Hilberts_fifth_problem sameAs Q3893331.
- Hilberts_fifth_problem sameAs Hilberta_kvina_problemo.
- Hilberts_fifth_problem sameAs Cinquième_problème_de_Hilbert.
- Hilberts_fifth_problem sameAs Quinto_problema_de_Hilbert.
- Hilberts_fifth_problem sameAs m.013xys.
- Hilberts_fifth_problem sameAs Пятая_проблема_Гильберта.
- Hilberts_fifth_problem sameAs Hilberts_femte_problem.
- Hilberts_fifth_problem sameAs Q3893331.
- Hilberts_fifth_problem sameAs 希尔伯特第五问题.
- Hilberts_fifth_problem wasDerivedFrom Hilberts_fifth_problem?oldid=343533898.
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