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A local Jordan-Brouwer separation theorem

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abstract

We intoduce a local version of the Jordan-Brouwer separation theorem and deduce some global statements, some of which may follow from known results, but the technique is new.

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math.AP 1

years

2026 1

verdicts

UNVERDICTED 1

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  • On the Hersch-Weinberger inequality in higher dimensions math.AP · 2026-05-24 · unverdicted · none · ref 24 · 2 links · internal anchor

    A concentric spherical shell maximizes the first Robin eigenvalue for annular domains under volume and perimeter constraints in higher dimensions.