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Results tagged with set-theory
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user 120914
forcing, large cardinals, descriptive set theory, infinite combinatorics, cardinal characteristics, forcing axioms, ultrapowers, measures, reflection, pcf theory, models of set theory, axioms of set theory, independence, axiom of choice, continuum hypothesis, determinacy, Borel equivalence relations, Boolean-valued models, embeddings, orders, relations, transfinite recursion, set theory as a foundation of mathematics, the philosophy of set theory.
4
votes
A “mother of all groups”? What kind of structures have "mother of all"s?
For finitely presented simple groups, there are the existentially closed groups. These groups are groups $M$ for which any equation or inequality definable over $M$ has a solution in $M$. These have m …
5
votes
0
answers
290
views
For which classes of metric spaces can we prove that quasi-isometry is an equivalence relati...
Given two metric spaces $(M_1, d_1)$ and $(M_2, d_2)$, a map $\phi \colon (M_1, d_1) \to (M_2, d_2)$ is a large-scale Lipschitz essentially surjective map if there exist constants $A \geq 1, B \geq 0$ …