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Results tagged with set-theory
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user 8782
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.
2
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2
answers
301
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maximum with respect inclusion of a function whose output are sets
Suppose that $S(x)$ is a function from a compact space $A$ to a space
of sets $S$. Suppose that there exists a map $W: A\to A$ and
$S(x)\subseteq S(W(x)).$ Does there exist a point $x$ such
that the e …
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