The set of real numbers contained in the interval (0,1) is countable. Here is my proof.
122048
why is the set of all binary sequences not countable?
112910
Is the set of real numbers really uncountably infinite?
12003
Cardinality of set of real continuous functions
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Subset of a countable set is itself countable
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countably infinite union of countably infinite sets is countable
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Image of countable and uncountable sets
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Infinite set and countable subsets
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Intervals and cardinality
3649
Closed unit interval is connected proof
128987
A collection of pairwise disjoint open intervals must be countable
43535
show that the interval of the form $[0,a)$ or $(a, 1]$ is open set in metric subspace $[0,1]$ but not open in $\mathbb R^1$
119886
The cantor set is uncountable
103769
The Cartesian product of a finite number of countable sets is countable
46967
What is wrong with this proof that the power set of natural numbers is countable?
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Why is the empty set considered an interval?
110635
Proving $\mathbb{N}^k$ is countable
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How can I prove that these sets are countable infinite?