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Dense subset of Cantor set homeomorphic to the Baire space

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#general-topology #metric-spaces #cantor-set #the-baire-space
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Functions from the Cantor set

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#real-analysis #continuity #cantor-set
597
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Cantor cubes are universal for totally disconnected compact Hausdorff spaces

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#general-topology #compactness #connectedness #separation-axioms #cantor-set
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"Fat" Cantor Set

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#real-analysis #cantor-set
13.7k
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$1/4$ is in the Cantor set?

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#real-analysis #cantor-set
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Cantor set + Cantor set =$[0,2]$

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#real-analysis #general-topology #analysis #cantor-set
13.9k
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Proof that the Cantor set has measure zero.

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#real-analysis #measure-theory #cantor-set
285
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Cantor's diagonalisation argument in proving cartesian product of infinitely many countable sets as uncountable

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#real-analysis #analysis #elementary-set-theory #self-learning #cantor-set
261
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Unusual definition of Cantor set

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#definition #cantor-set
175
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Paring function - Output becomes exponential for big real inputs

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#number-theory #functions #real-numbers #integers #cantor-set
80
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Functions on the Cantor set with the same product and with $|h|+|k|>0$

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#real-analysis #general-topology #continuity #cantor-set
250
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Endpoints of intervals of Cantor set survive construction

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#real-analysis #general-topology #induction #cantor-set
183
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Does the value $0.0222\dots_3$ belong to Cantor set?

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#cantor-set #ternary-expansion
391
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Cantor set has dimension zero

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#metric-spaces #cantor-set
64
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Cantor set properties.

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#real-analysis #measure-theory #cantor-set

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