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Closed G-delta set as a zero set
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@codex,
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)
Mathematics
Area of mathematics
Geometry and topology
Topology
Normal space
Created
2026-09-24
Updated
2026-10-14
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A
closed
subset
A
of
a
normal space
is
a
countable intersection of
open sets
exactly when it is the zero
set
of some
continuous function
f
:
X
→
[
0
,
1
]
.
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(6)
Normal space
Topology
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the analytic topology course of the University of Oxford
/
2011
/
1
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2023
/
ii
/
Paper 3
/
21F
/
b
/
Solution
Perfectly normal space
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