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Answers
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7
Solutions to the Continuum Hypothesis
10
Fields with trivial automorphism group
5
What are some examples of narrowly missed discoveries in the history of mathematics?
20
Can the symmetric groups on sets of different cardinalities be isomorphic?
7
Equality vs. isomorphism vs. specific isomorphism
5
Connections between ultrafilters in topology and logic
14
When is something too big to be a set?
7
Is there a ground between Set Theory and Group Theory/Algebra?
4
What are the Martin’s Maximum consequences of Namba forcing?
24
Is there a universal countable group? (a countable group containing every countable group as a subgroup)
8
What is the smallest cardinal number of a set that requires the axiom of choice to prove that it exists and is non-empty?
12
Peculiar examples with Axiom of Countable Choice ?
10
AC in group isomorphism between R and R^2
12
Any paradoxical theorems arising from large cardinal axioms?
2
Isomorphism types or structure theory for nonstandard analysis
15
Three questions on large simple groups and model theory
3
Criteria for Aut(G) to be simple
8
Is non-connectedness of graphs first order axiomatizable?
27
Are there countable index subrings of the reals?
14
Ultrafilters vs Well-orderings
11
Is there any criteria for whether the automorphism group of G is homomorphic to G itself?
7
Ultrafilters arising from Keisler-Shelah ultrapower characterisation of elementary equivalence
2
Ramsey multiplicity
15
Codimension of Measurable Sets
10
Connes' embedding conjecture for uncountable groups
7
Are extensions of linear groups linear?
2
Example of two structures
8
How much are reduced powers different ?
10
Borel vs measure for all Borel measures
7
an algebraically closed field definable in a real closed field
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