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- W4283811966 abstract "A classical result from topology called Uryshon's lemma asserts the existence of a continuous separator of two disjoint closed sets in a sufficiently regular topological space. In this work we make a search for this separator constructive and efficient in the context of real algebraic geometry. Namely, given two compact disjoint basic semialgebraic sets which are contained in an $n$-dimensional box, we provide an algorithm that computes a separating polynomial greater than or equal to 1 on the first set and less than or equal to 0 on the second one." @default.
- W4283811966 created "2022-07-06" @default.
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- W4283811966 date "2022-07-01" @default.
- W4283811966 modified "2023-10-05" @default.
- W4283811966 title "Urysohn in action: separating semialgebraic sets by polynomials" @default.
- W4283811966 hasPublicationYear "2022" @default.
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