Investigates how infinite-dimensional spaces behave under group actions, indicating topological Noetherianity.
Much recent literature concerns finiteness properties of infinite-dimensional algebraic varieties equipped with an action of the infinite symmetric group, or of the infinite general linear group. In this paper, we study a common generalisation in which the product of both groups acts on infinite-dimensional spaces, and we show that these spaces are topologically Noetherian with respect to this action.
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Chiu et al. (2025) studied this question.
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