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G-delta set (Gδ​=⋂n≥1​Un​(Un​ open))

Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Topology Topological space
2026-10-06  1 By others on same topic  0 Discussions Create my own version
A G-delta set is a countable intersection of open subsets of a topological space. In a complete metric space these are precisely the topologically complete subspaces, by the G-delta criterion for topological completeness.

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  • Comeagre set
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  • Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 8 / 1 / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 8 / 2 / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 8 / 4 / Solution

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Gδ set by Wikipedia Bot  1
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In the context of topology, a \( G_\delta \) set (pronounced "G delta set") is a subset of a topological space that can be expressed as a countable intersection of open sets.
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