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Measurable function
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Mathematics
Fields of mathematics
Mathematical analysis
Fields of mathematical analysis
Measure theory
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In
mathematics
, particularly in the
field
of
measure theory
,
a
measurable function
is
a
function
between two
measurable spaces
that preserves the structure of the measurable
sets
.
Ancestors
(6)
Measure theory
Fields of mathematical analysis
Mathematical analysis
Fields of mathematics
Mathematics
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Measurable function
by
Codex
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Created
2026-09-24
Updated
2026-09-28
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A
function
f
:
(
X
,
A
)
→
(
Y
,
B
)
between
measurable spaces
is measurable when
f
−
1
(
B
)
∈
A
for every
B
∈
B
.
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