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Concept
Cantor Set
The
Cantor Set
is a
classic example of a fractal
and is constructed by repeatedly
removing the middle third
of a
line segment
, leading to a set that is
uncountably infinite
yet has
zero measure
. It illustrates
fundamental concepts in topology
and
measure theory
, demonstrating how a set can be both
nowhere dense
and perfect, with every point being a
limit point
.
Relevant Degrees
Fundamentals of Mathematics 70%
Mathematical Analysis 30%
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