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... 2 KB (352 words) - 08:50, 7 November 2023 |
semialgebraic set lies inside an algebraic subvariety of the same dimension. Łojasiewicz inequality Existential theory of the reals Subanalytic set piecewise... 3 KB (429 words) - 09:02, 10 January 2024 |
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... 26 KB (3,213 words) - 07:56, 3 May 2024 |
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... 11 KB (1,294 words) - 21:21, 20 March 2024 |
subanalytic space. (However, under mild point-set topology hypotheses, it turns out that subanalytic spaces are essentially equivalent to subanalytic... 7 KB (1,031 words) - 18:08, 23 March 2024 |
LG]. Bierstone, Edward; Milman, Pierre D. (1988), "Semianalytic and subanalytic sets", Publications Mathématiques de l'IHÉS, 67 (67): 5–42, doi:10.1007/BF02699126... 2 KB (291 words) - 16:05, 21 June 2023 |
 | including algebraic varieties, analytic varieties, semialgebraic sets, and subanalytic sets. CW-complexes A CW complex is a topological space formed by gluing... 67 KB (9,476 words) - 21:20, 15 February 2024 |
given Whitney stratifications, such as semialgebraic sets (due to René Thom) and subanalytic sets (due to Heisuke Hironaka). This has led to their use... 6 KB (719 words) - 23:03, 1 November 2022 |
 | stratified sets that the Chinese-Australian mathematician Tzee-Char Kuo had previously shown implied the Whitney conditions for subanalytic sets (such as... 5 KB (432 words) - 13:07, 22 July 2023 |
 | 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... 13 KB (1,129 words) - 14:12, 26 April 2024 |
with applications to physics, Strategies for sequential search and selection in real time, Schottky problems, and Logic, fields, and subanalytic sets.... 14 KB (1,849 words) - 15:18, 21 March 2024 |
 | 1575–1595. Bierstone, Edward; Milman, Pierre D. Semianalytic and subanalytic sets. Inst. Hautes Études Sci. Publ. Math. No. 67 (1988), 5–42. Allard,... 18 KB (1,938 words) - 02:38, 12 May 2024 |
 | 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 |