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Mathoverflow.net news digest

  • 0 days

    Class number one problem for non-Galois cubic fields

    In several works of Louboutin and other authors, it has been shown that in some "specific family" of non-Galois cubic fields, such as the simplest cubic fields or some real cubic fields with negative discriminants, there are only finitely many such fields...

  • 0 days

    A question relating to the measurability of cardinals

    Given two large cardinal properties $A$ and $B$ such that $\exists{x} A(x) \rightarrow \exists{x}B(x)$. For two distinct cardinals $\kappa$, $\lambda$ each satisfying $A(\kappa)$, $B(\lambda)$ and $A(\kappa) \rightarrow B(\lambda)$, if $\lambda$ is measurable...

  • 0 days

    How Does contemporary formalism resolve the identity problem between different g...

    The standard presentation of the parallel postulate's independence says that Euclidean geometry and hyperbolic geometry are both axiomatized in the same formal language the same primitive symbols "point," "line," "incidence," "betweenness," "congruence...

  • 0 days

    Strength of $\clubsuit^*(S)$ and its relatives

    I can find very little information about the strength of the guessing principles $\clubsuit(S)$ and its weakenings for a stationary set $S \subseteq \kappa > \aleph_1$. For the applications I have in mind, I care mostly about stationary sets $ S...

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