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[parent] Polish group (Definition)
Definition 0.1   Let $G$ be a topological group regarded as a topological space. Then $G$ is defined to be a Polish group if it is also a Polish space.

Bibliography

1
Howard Becker, Alexander S. Kechris. 1996. The Descriptive Set Theory of Polish Group Actions Cambridge University Press: Cambridge, UK, p.14.




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See Also: Polish space, group, Polish G-space, topological G-space, topological group, basic results in topological groups, topological G-space


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Cross-references: Polish space, topological space, topological group
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This is version 2 of Polish group, born on 2008-09-21, modified 2008-10-17.
Object id is 11060, canonical name is PolishGroup.
Accessed 597 times total.

Classification:
AMS MSC22A05 (Topological groups, Lie groups :: Topological and differentiable algebraic systems :: Structure of general topological groups)
 54H05 (General topology :: Connections with other structures, applications :: Descriptive set theory )
 22A10 (Topological groups, Lie groups :: Topological and differentiable algebraic systems :: Analysis on general topological groups)
 22A22 (Topological groups, Lie groups :: Topological and differentiable algebraic systems :: Topological groupoids )
 22A25 (Topological groups, Lie groups :: Topological and differentiable algebraic systems :: Representations of general topological groups and semigroups)

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