Draisma, JanJanDraisma0000-0001-7248-82502024-10-282024-10-282019https://boris-portal.unibe.ch/handle/20.500.12422/181407We prove that any finite-degree polynomial functor is topologically Noetherian. This theorem is motivated by the recent resolution of Stillman's conjecture and a recent Noetherianity proof for the space of cubics. Via work by Erman-Sam-Snowden, our theorem implies Stillman's conjecture and indeed boundedness of a wider class of invariants of ideals in polynomial rings with a fixed number of generators of prescribed degrees.en500 - Science::510 - Mathematicsarticle10.7892/boris.1322491705.01419v410.1090/jams/923