A good introduction to axiomatic set theory
95042
Textbooks on set theory
78290
Countable axiom of choice: why you can't prove it from just ZF
135025
Axiomatization of a Topology using the Boundary
87451
Construction of matrices under ZFC axioms
100726
Prove that the set of powers of a set, $\{ A^n : n \in \mathbb{N} \}$ exists by using ZFC axioms (without replacement).
25553
elementary set theory (cartesian product and symmetric difference proof)
29744
Compactness and axiomatisability
104771
Dedekind's cut and axioms
29755
Power set equivalency of Axiom of Choice
152272
Can you explain the "Axiom of choice" in simple terms?
140868
Axiomatization of $\mathbb{Z}$ via well-ordering of positives.
70143
Mutually exclusive countable subsets of a countable set
130771
Sets and the principle of inclusion and exclusion
81509
The cardinality of a countable union of countable sets, without the axiom of choice
150385
The use of the Axiom of Choice in this proof of the sequence lemma
102202
The smallest infinity and the axiom of choice
24050
Characterization of the Closure of a Set