Triangulation of semi-analytic sets

 Access to full text

 Full (PDF)

1. [1] P.S. Alexandrov, Combinatorial Topology I, Graylock, Rochester N. Y., 1956. Zbl0903.55001
2. [2] B. Giesecke, Simpliziale Zerlegung abzählbarer komplexer Räume, Thesis, A. Schubert, München, 1963. Zbl0123.39602
3. [3] H. Grauert, On Levi's problem and the imbedding of real analytic manifolds, Ann. of Math. (2) 68 (1958), 460-472. Zbl0108.07804MR98847
4. [4] B.C. Koopman and. A.B. Brown, On the covering of analytic loci by complexes, Trans. Amer. Math. Soc.34 (1932), 231-251. Zbl0004.13203MR1501636JFM58.1203.02
5. [5] S. Lefschetz,Topology, Amer. Math. Soc, Coll. Publications, New York, 1930. 
6. [6] S. Lefschetz and J.H.C. Whitehead, On analytical complexes, Trans. Amer. Math. Soc.35 (1933), 510-517. Zbl0006.37006MR1501698JFM59.0559.02
7. [7] S. Lojasiewicz, Sur le problème de la division, Rozprawy Mat.22 (1961). Zbl0096.32102MR126072
8. [8] S. Lojasiewicz, Une propriété topologique des sous-ensembles analytiques réels. Coll. dn CNRS sur les équations aux dérivées partielles, Paris, 1962, 87-89. Zbl0234.57007MR160856
9. [9] J. Milnor, Two complexes which are homeomorphic but combinatorially distinct, Ann. of Math. (2) 74 (1961), 575-590. Zbl0102.38103MR133127
10. [10] W.F. Osgood, Lehrburch der Funktionentheorie II, 1, Teubner, Leipzig, 1929. JFM54.0326.10
11. [11] R. Remmert and K. Stein, Über die wesentlichen Singularitäten analytischer Mengen, Math. Ann.126 (1953), 263-306. Zbl0051.06303MR60033
12. [12] A. Sard, The measure of the critical values of differentiale maps, Bull. Amer. Math. Soc.48 (1942), 883-890. Zbl0063.06720MR7523
13. [13] A. Seidenberg, A new decision method for elementary algebra, Ann. of Math. (2) 60 (1954), 365-374. Zbl0056.01804MR63994
14. [14] R. Thom, La stabilité topologique des applications polynomiales, Enseignement Math.8 (1962), 24-33. Zbl0109.40002MR148079
15. [15] B.L. van der WAERDEN, Topologische Begründung des Kalküls der abzählenden Geometrie, Math. Ann.102 (1929), 337-362. Zbl55.0992.01JFM55.0992.01
16. [16] H. Whitney, Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc.36 (1934), 63-89. Zbl0008.24902MR1501735JFM60.0217.01
17. [17] H. Whitney, Elementary structure of real algebraic varieties, Ann. of Math. (2) 66 (1957) 545-556. Zbl0078.13403MR95844
18. [18] H. Whitney, Geometric Integration Theory, Princeton, 1957. Zbl0083.28204MR87148
19. [19] K. Sato, Local triangulation of Real Analytic Varieties, Osaka Math. J., 15 (1963), 109-125. Zbl0219.57014MR156355

1. J. Gauthier, I Kupka, Genericity of observability and the existence of asymptotic observers
2. Bernard Teissier, Théorèmes de finitude en géométrie analytique
3. A. M. Kytmanov, C. Rea, Elimination of $L^1$ singularities on Hölder peak sets for $CR$ functions
4. D. Barlet, Contribution effective dans le réel
5. M. Balde, P. Jouan, Genericity of observability of control-affine systems
6. Jean-Michel Bony, Polynômes de Bernstein et monodromie
7. Masahiro Shiota, Nash Manifolds
8. Guido Pollini, Intersection differential forms
9. B. Malgrange, Sur les polynômes de I. N. Bernstein
10. Bernard Malgrange, Polynômes de Bernstein-Sato