Volume 16, issue 4 (2012)

 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