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Mathoverflow.net news digest

  • 0 days

    A class of $G$-invariant manifolds concerning their admissible scalar curvature ...

    Long-ago I have written a preprint with some colleagues where we claimed extending the classical Kazdan-Warner trichotomy to the setting where $M$ is a smooth manifold of dimension $\geq 3$ with a effective smooth action by a compact Lie group $G$ assuming...

  • 0 days

    How to formally construct a topological algebra where 1/0 is generalized via a m...

    I am trying to formalize a non-standard algebraic framework to handle singularities (specifically division by zero) not as undefined operations or single points at infinity (like the Riemann sphere or the real projective line), but as a transition to...

  • 0 days

    How bad can papering over universe issues be?

    Many introductions to category theory brush over size issues (by which I mean paying attention to which categories are small, locally small, dealing with facts like there being no category of all categories, possibly introducing Grothendieck universes...

  • 0 days

    Example of a certain union-closed family

    Is it possible to find an example of a finite separating union-closed family $\mathcal{F}$, with size of the universe $|U(\mathcal{F})| = n$, with a biconnected Hasse diagram graph (without articulation vertices), such that there exist a union of $\lfloor...

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