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Mathoverflow.net news digest

  • 0 days

    Consequences of the disproof of the Jacobian conjecture on mathematical physics?

    Sorry if this is not the correct place to ask this question, or if this is somewhat vague, but it should be well-known by now that the Jacobian Conjecture has been disproven with a surprisingly simple counter-example found with AI assistance (Wikipedia...

  • 0 days

    Connection between induction and transfer

    I'm not sure if my question is appropriate here so please redirect me if I should post on StackExchange instead.
    Is there a resource (likelier to be paper than book) that discusses the specific connection between induced representations of a finite group $G$ and the transfer homomorphism?...

  • 0 days

    A Jacobian-neutral birational construction for Keller maps, with noninjective ex...

    Yesterday (Jul 19) Levent Alpoge announced a polynomial map $F:\mathbb C^3\to\mathbb C^3$ with $\det DF\equiv-2$ and a fiber containing three distinct points: a noninjective Keller map in dimension $3$. This is a follow-up to my earlier question describing...

  • 15 days

    Topological space where any finite, but not every countable, intersection of com...

    Note: This post was once deleted and reposted on MSE, since the statement is fairly elementary (see the comments below). However, even with bounty and several partial answers, I received no complete answer, so I decided to undelete.
    It is well-known that in a Hausdorff space the intersection of a non-empty (finite or infinite) family of compact subsets is again compact....

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