analytic geometry, a subanalytic set is a set of points (for example in Euclidean space) defined in a way broader than for semianalytic sets (roughly speaking...
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semialgebraic set lies inside an algebraic subvariety of the same dimension. Łojasiewicz inequality Existential theory of the reals Subanalytic set piecewise...
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O-minimal theory (section Set-theoretic definition)
1090/S0894-0347-96-00216-0. Denef, J.; van den Dries, L. (1989). "p-adic and real subanalytic sets". Annals of Mathematics. 128 (1): 79–138. doi:10.2307/1971463. JSTOR 1971463...
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Real algebraic geometry (redirect from Real algebraic set)
implement it on a computer. 1973 Jean-Louis Verdier proved that every subanalytic set admits a stratification with condition (w). 1979 Michel Coste and Marie-Françoise...
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subanalytic space. (However, under mild point-set topology hypotheses, it turns out that subanalytic spaces are essentially equivalent to subanalytic...
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LG]. Bierstone, Edward; Milman, Pierre D. (1988), "Semianalytic and subanalytic sets", Publications Mathématiques de l'IHÉS, 67 (67): 5–42, doi:10.1007/BF02699126...
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given Whitney stratifications, such as semialgebraic sets (due to René Thom) and subanalytic sets (due to Heisuke Hironaka). This has led to their use...
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stratified sets that the Chinese-Australian mathematician Tzee-Char Kuo had previously shown implied the Whitney conditions for subanalytic sets (such as...
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with applications to physics, Strategies for sequential search and selection in real time, Schottky problems, and Logic, fields, and subanalytic sets....
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including algebraic varieties, analytic varieties, semialgebraic sets, and subanalytic sets. CW-complexes A CW complex is a topological space formed by gluing...
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Zbl 0759.11045. J. Denef; L. van den Dries (1988). "p-adic and real subanalytic sets". Ann. of Math. Series 2. 128 (1): 79–138. doi:10.2307/1971463. JSTOR 1971463...
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1575–1595. Bierstone, Edward; Milman, Pierre D. Semianalytic and subanalytic sets. Inst. Hautes Études Sci. Publ. Math. No. 67 (1988), 5–42. Allard,...
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elimination for p-adic fields from which a theory of semi-algebraic and subanalytic geometry for p-adic fields follows (in analogy with that for the real...
9 KB (889 words) - 17:22, 30 January 2024