Geometry & Topology Volume 16, issue 4 (2012)

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Definable triangulations with regularity conditions

Małgorzata Czapla

Geometry & Topology 16 (2012) 2067–2095

DOI: 10.2140/gt.2012.16.2067

Bibliography

1	H Brodersen, D Trotman, Whitney (b)–regularity is weaker than Kuo's ratio test for real algebraic stratifications, Math. Scand. 45 (1979) 27 MR567430
2	M Coste, An introduction to o-minimal geometry, doctoral thesis, Pisa (2000)
3	M Coste, M Reguiat, Trivialités en famille, from: "Real algebraic geometry (Rennes, 1991)", Lecture Notes in Math. 1524, Springer (1992) 193 MR1226253
4	M Czapla, Invariance of regularity conditions under definable, locally Lipschitz, weakly bi–Lipschitz mappings, Ann. Polon. Math. 97 (2010) 1 MR2565320
5	J Dieudonné, Foundations of modern analysis, Pure and Applied Mathematics, Vol. X, Academic Press (1960) MR0120319
6	J Dugundji, A Granas, Fixed point theory, vol. I, Polish Scientific Publishers (1982)
7	R Engelking, K Sieklucki, Geometria i topologia. Część II: Topologia, Biblioteka Matematyczna 54, Państwowe Wydawnictwo Naukowe (PWN) (1980) 388 MR604360
8	R M Hardt, Triangulation of subanalytic sets and proper light subanalytic maps, Invent. Math. 38 (1976/77) 207 MR0454051
9	H Hironaka, Subanalytic sets, from: "Number theory, algebraic geometry and commutative algebra, in honor of Yasuo Akizuki", Kinokuniya (1973) 453 MR0377101
10	H Hironaka, Triangulations of algebraic sets, from: "Algebraic geometry (Proc. Sympos. Pure Math., Vol. 29, Humboldt State Univ., Arcata, Calif., 1974)", Amer. Math. Soc. (1975) 165 MR0374131
11	T L Loi, Whitney stratification of sets definable in the structure $\mathbb{R}_{\exp}$, from: "Singularities and differential equations (Warsaw, 1993)", Banach Center Publ. 33, Polish Acad. Sci. (1996) 401 MR1449176
12	T L Loi, Verdier and strict Thom stratifications in o-minimal structures, Illinois J. Math. 42 (1998) 347 MR1612771
13	S Łojasiewicz, Triangulation of semi-analytic sets, Ann. Scuola Norm. Sup. Pisa 18 (1964) 449 MR0173265
14	S Łojasiewicz, Ensembles semi-analytiques, preprint, IHES, Bur-sur-Yvette (1965)
15	S Łojasiewicz, Stratifications et triangulations sous-analytiques, from: "Geometry Seminars, 1986 (Italian) (Bologna, 1986)", Univ. Stud. Bologna (1988) 83 MR973686
16	S Łojasiewicz, J Stasica, K Wachta, Stratifications sous-analytiques. Condition de Verdier, Bull. Polish Acad. Sci. Math. 34 (1986) 531 MR884199
17	M Shiota, Geometry of subanalytic and semialgebraic sets, Progress in Mathematics 150, Birkhäuser (1997) MR1463945
18	M Shiota, Whitney triangulations of semialgebraic sets, Ann. Polon. Math. 87 (2005) 237 MR2208550
19	G Valette, Lipschitz triangulations, Illinois J. Math. 49 (2005) 953 MR2210270
20	L van den Dries, Tame topology and o-minimal structures, London Mathematical Society Lecture Note Series 248, Cambridge Univ. Press (1998) MR1633348
21	L van den Dries, C Miller, Geometric categories and o-minimal structures, Duke Math. J. 84 (1996) 497 MR1404337
22	H Whitney, Tangents to an analytic variety, Ann. of Math. 81 (1965) 496 MR0192520