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Results tagged with set-theory
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user 3634
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
votes
Injectivity implies surjectivity
There is an example of this in stable homotopy theory, related to the famous `Generating Hypothesis,' conjectured by Freyd (and still open as far as I know!). For finite complexes $X$ and $Y$, the m …
7
votes
The impact of large cardinals in mathematics
I guess this is relevant to Question 4: In the paper
Implications of large-cardinal principles in homotopical localization. Adv. Math. 197 (2005), no. 1, 120–139. by Casacuberta, Carles; Scevenel …
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