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New posts in cardinals
Cofinality of an infinite cardinal, alternative definition
set-theory
cardinals
solution-verification
ordinals
Tightness and countable intersection of neighborhoods
general-topology
set-theory
cardinals
Non-existence of a surjection $\aleph_n \to \aleph_{n+1}$, without the axiom of choice
set-theory
cardinals
axiom-of-choice
ordinals
Prove that the set of all monotone functions on $[0,1]$ has same cardinality as $\mathbb R$
elementary-set-theory
cardinals
Why does $\omega$ have the same cardinality in every (transitive) model of ZF?
set-theory
cardinals
Let A = $\left\{1,\:2,\:\left\{1,\:2\right\}\right\}$, how many elements are in the set $P(A)\setminus A$?
elementary-set-theory
cardinals
Prove that $\mathbb{|Q| = |Q\times Q|}$
discrete-mathematics
elementary-set-theory
cardinals
Fodor's lemma on singular cardinals
set-theory
cardinals
Compact cardinal cannot be successor?
logic
set-theory
cardinals
large-cardinals
Cardinal of $X^2$
set-theory
cardinals
Prove that a field of a set has $2^r$ elements if it has finite cardinality.
combinatorics
measure-theory
cardinals
Why is the cardinality of irrational numbers greater than rational numbers?
elementary-set-theory
cardinals
Are there any infinites not from a powerset of the natural numbers?
elementary-set-theory
cardinals
infinity
What is the cardinality of $\omega^\omega$?
elementary-set-theory
cardinals
descriptive-set-theory
the-baire-space
Is there a Partition of $[0,1]$ into closed, countably infinite sets?
real-analysis
general-topology
cardinals
Cardinality of the infinite sets
elementary-set-theory
cardinals
Infinite sets and their Cardinality
elementary-set-theory
cardinals
Is the logarithm of $\aleph_0$ infinite?
elementary-set-theory
terminology
cardinals
computability
Cardinality of the Euclidean topology and the axiom of choice
general-topology
set-theory
cardinals
axiom-of-choice
ZFC + not-CH, can a set with cardinality between $\aleph_0$ and $2^{\aleph_0}$ be defined?
set-theory
cardinals
axioms
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