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Atom of a sigma-algebra
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Mathematics
Area of mathematics
Analysis
Real analysis
Measure theory
Sigma-algebra
Created
2026-09-24
Updated
2026-09-24
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An
atom
of
a
sigma-algebra
is
a
nonempty measurable
set
containing no proper nonempty measurable
subset
.
A
finite
sigma-algebra
partitions its underlying
set
into
atoms
, and each measurable
set
is
a
union of them.
Ancestors
(7)
Sigma-algebra
Measure theory
Real analysis
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 201
/
1
/
a
/
Solution
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