Maximal value of an infinite set.
44607
Prove that a continuous function on a closed interval attains a maximum
49709
Suppose $X$ is infinite and $A$ is a finite subset of $X$. Then $X$ and $X \setminus A$ are equinumerous
107614
Partitioning an infinite set
53593
Limits of sequences of sets
59275
If $X$ is an infinite set, then $X$ with the discrete topology is not compact
2403
Can a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite?
102202
The smallest infinity and the axiom of choice
69857
Is the set $A=\{x\in E|\lim_{n \to\infty} f_n(x)\ exists\ (finitely)\}$ measurable?
139826
arbitrary large finite sums of an uncountable set.
48797
Proving Two Sets are Equal - Infinite Sets - Example
117561
A set is infinite iff there is a one-to-one correspondent with one of its proper subsets?
109054
Given an infinite set of cardinality $X$, is there a chain in $\mathcal P(X)$ of the same cardinalty of $\mathcal P(X)$?
324
Show uncountable set of real numbers has a point of accumulation
120712
Is there a way to define the "size" of an infinite set that takes into account "intuitive" differences between sets?
44974
Infinite set and countable subsets
79925
Infinitely many values of $x$ that satisfy the equations
33157
Proof that an infinite subset of $\mathbb{N}$ is countable