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by
Ciro Santilli
(
@cirosantilli,
36
)
Measure theory
Home
Mathematics
Area of mathematics
Calculus
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Updated
2025-04-24
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Created
1970-01-01
See my version
Main motivation:
Lebesgue integral
.
The Bright Side Of
Mathematics
2019 playlist:
www.youtube.com/watch?v=xZ69KEg7ccU&list=PLBh2i93oe2qvMVqAzsX1Kuv6-4fjazZ8j
The key idea, is that
we
can'
t
define
a
measure for the power set of
R
. Rather,
we
must select
a
large measurable
subset
, and the Borel
sigma algebra
is
a
good
choice
that matches
intuitions
.
Ancestors
(4)
Calculus
Area of mathematics
Mathematics
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Incoming links
(1)
Lebesgue integral vs Riemann integral
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Measure theory
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1970-01-01
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