Limits of tangent spaces to real surfaces

American Journal of Mathematics

Volumn 126, Issue 5, 2004, Pages 951-980

  O'Shea, Donal B ^a   Wilson, Leslie C ^b  

^a MOUNT HOLYOKE COLLEGE   (United States)

^b UNIVERSITY OF HAWAII   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5644221800     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2004.0040     Document Type: Article

References (17)

1. K. Bekka, Regular stratification of subanalytic sets, Bull. London Math. Soc. 25 (1993), 7-16.
2. D. Burghelea and A. Verona, Local homological properties of analytic sets, Manuscripta Math. 7 (1972), 55-66.
3. M. Ferratotti and E. Fortuna, On semialgebraic tangent cones, Bull. Pol. Acad. Sci. 46 (1998), 383-390.
4. M. Ferrarotti, E. Fortuna, and L. Wilson, Real algebraic varieties with prescribed tangent cones, Pacific J. Math. 194 (2000), 315-323.
5. J.-P. Henry and L. D. Trang, Limites d'espaces tangents, Séminaire Norguet, Lecture Notes in Math., vol. 482, Springer-Verlag, Berlin, 1975, pp. 251-265.
6. H. Hironaka, Stratification and flatness, Real and Complex Singularities, Proc. Nordic Summer Schol, 1976 (P. Holm, ed.), Sijthoff & Noordhoff, Alphen aan den Rijn, Netherlands, 1977, pp. 199-266.
7. f stratification of subanalytic functions and the Lojaisiewicz inequality, C. R. Acad. Sci. (Paris) 318 (1994), 129-134.
8. n and constructing singularities with prescribed Nash fiber and tangent cone, Topology Appl. 64 (1995), 177-189.
9. Lê Dung Trang, Limites d'espaces tangents sur les surfaces, Nova Acta Leopoldina N.F. 52 (1981), 119-137.
10. Lê Dung Trang and B. Teissier, Limites d'espaces tangents en géometrie analytique, Comment. Math. Helv. 63 (1988), 540-578.
11. J. Milnor, Singular Points of Complex Hypersurfaces, Ann. of Math Stud., no. 61, Princeton Univ. Press, Princeton, 1968.
12. D. O'Shea and L. Wilson, Computing limiting normals to real surfaces, Proc. Sympos. Appl. Math. 48 (1994), 349-353.
13. -, Tangent and normal cones to real surfaces, Chinese Quart. J. Math. 10 (1995), 62-71.
14. H. Whitney, Elementary structure of real algebraic varieties, Ann. of Math. 66 (1957), 545-556.
15. -, Local properties of analytic varieties, Differential and Combinatorial Topology, Princeton University Press, 1965, pp. 205-244.
16. -, Tangents to an analytic variety, Ann. of Math. 81 (1965), 496-549.
17. H. Whitney and F. Bruhat, Quelques propriétés fondamentales des ensembles analytiques-réels, Comment. Math. Helv. 33 (1959), 132-160.