Why is there no bijection between the set of all sequences whose elements are the digits $0$ and $1$ and the positive integers?
158842
What is wrong with this bijection from all naturals to reals between 0 and 1?
67066
Proof there is a 1-1 correspondence between an uncountable set and itself minus a countable part of it
24582
Is the set of sequences of natural numbers with trailing zeros countable?
133695
Induction, 0'1 and 1's sequence fun question
19250
Find a recurrence relation for the number of $n$-digit binary sequences with no pair of consecutive $1$s
45456
Do the digits of $\pi$ contain every possible finite-length digit sequence?
74839
Catalan numbers: bijection between applications of a binary operator and Dyck words.
110464
Let $A=\{1,...,n\}.$ Show that there is a bijection of $P(A)$ with the cartesian product $X^n$ where $X$ is the two element set $X=\{0,1\}$
136538
How can I show that a bijection between $[0,1)$ and $(0,1)$ cannot be continuous?
70266
1-1 correspondence between [0,1] and [0,1)
146436
Cardinality of the set of bijective functions on $\mathbb{N}$?
22869
Prove $[0, 1]$ and $(0, 1]$ are equinumerous by use of bijection
65768
What is the cardinality of the set of the empty set?
31391
bijection between $\mathbb{N}$ and $\mathbb{N}\times\mathbb{N}$
118595
Proving that a set is countable by finding a bijection
100465
Does there exist a continuous bijection from $(-1,1) \to (-1,1]$?
148731
Constructing a bijection between $[a,b)$ to $(0,1)$