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New posts in axiom-of-choice
Axiom of Choice and Cartesian Products
set-theory
axiom-of-choice
Uncountable closed set of reals biject with reals without replacement or choice
set-theory
alternative-proof
axiom-of-choice
foundations
descriptive-set-theory
Proving equivalence of a tree-based version of Countable Choice for families of finite sets.
reference-request
set-theory
order-theory
axiom-of-choice
Uncountable Sets that can not be expressed as a disjoint union of two Uncountable sets
set-theory
axiom-of-choice
Maximal ideals in $C(X)$ and Axiom of Choice
general-topology
axiom-of-choice
Outer automorphisms of the infinite symmetric group
group-theory
permutations
axiom-of-choice
Strength of $\sf ZF$+The weak topology on every Banach space is Hausdorff
functional-analysis
set-theory
axiom-of-choice
Non-existence of a surjection $\aleph_n \to \aleph_{n+1}$, without the axiom of choice
set-theory
cardinals
axiom-of-choice
ordinals
$\varepsilon$-number countability without choice
set-theory
axiom-of-choice
ordinals
What is needed to make Euclidean spaces isomorphic as groups?
group-theory
vector-spaces
set-theory
axiom-of-choice
axioms
Intuitionistic Banach-Tarski Paradox
measure-theory
logic
axiom-of-choice
type-theory
Can we prove the existence of a non-measurable subset using an uncountable well-ordered subset without $\sf DC$?
set-theory
axiom-of-choice
Confused about Axiom of Choice
set-theory
axiom-of-choice
The "it's not possible" statement in math and the Axiom of Choice
measure-theory
logic
axiom-of-choice
Zorn's Lemma and Injective Modules
commutative-algebra
soft-question
set-theory
axiom-of-choice
Cauchy functional equation with non choice
functional-equations
axiom-of-choice
Can every infinite set be divided into pairwise disjoint subsets of size $n\in\mathbb{N}$?
set-theory
axiom-of-choice
set-partition
How to show countability of $\omega^\omega$ or $\epsilon_0$ in ZF?
set-theory
axiom-of-choice
ordinals
Choice function for collection of arbitrary finite sets. AC required?
elementary-set-theory
axiom-of-choice
Prove that Open Sets in $\mathbb{R}$ are The Disjoint Union of Open Intervals Without the Axioms of Choice
real-analysis
general-topology
axiom-of-choice
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