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Cantor Ternary Set Problem, Ternary Expansions

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#measure-theory #lebesgue-measure #cantor-set
358
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Let $C$ be the Cantor set. Prove $g(x)=\left\{\begin{array}{ll}1 & x\in C \\ 0 & x\notin C\end{array}\right.$ not continuous at any $c\in C$.

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#real-analysis #cantor-set
66
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Properties of the Cantor set constructed by removing just the middle point

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#real-analysis #cantor-set #fractal-analysis
127
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Topological difference between the compact interval $I$ and the Cantor set

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#general-topology #compactness #cantor-set
37
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Cantor theorem use

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#cantor-set
59
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Does removing open intervals with equal spacing give a Cantor-like set

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#real-analysis #dynamical-systems #cantor-set
119
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Solving for complex exponent

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#complex-analysis #complex-numbers #fractals #cantor-set #dimension-theory-analysis
53
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Why is this set $\mathbf{\Pi}^0_\xi$?

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#descriptive-set-theory #cantor-set #borel-sets
192
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Continuity of the indicator of Cantor set.

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#real-analysis #continuity #metric-spaces #solution-verification #cantor-set
34
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Can I determine if the result of a pairing function is the from the inverse of a given pair?

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#number-theory #functions #cantor-set
235
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Self-similarity of the Cantor set

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#fractals #cantor-set
275
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Construction of Cantor-like function

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#real-analysis #descriptive-set-theory #cantor-set
31
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Are there doubly (left- and right-) perfect sets with Lebesgue measure zero?

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#reference-request #lebesgue-measure #cantor-set
46
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Finite ratios between pairs of infinities

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#geometry #infinity #cantor-set
265
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bounded Cantor pairing?

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#functions #cantor-set #poker

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