Bulletin of the American Mathematical Society

Author(s): Edward Bierstone; Pierre D. Milman
Journal: Bull. Amer. Math. Soc. 25 (1991), 385-393.
MSC (1985): Primary 32B20, 58C27; Secondary 32C42, 32K15
MathSciNet review: 1102751
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1.: J. Becker and W. R. Zame, Applications of functional analysis to the solution of power series equations, Math. Ann. 243 (1979), 37-54. MR 543093
2.: E. Bierstone and P. D. Milman, Composite differentiable functions, Ann. of Math. 116 (1982), 541-558. MR 678480
3.: E. Bierstone and P. D. Milman, The Newton diagram of an analytic morphism, and applications to differentiable functions, Bull. Amer. Math. Soc. (N.S.) 9 (1983), 315-318. MR 714993
4.: E. Bierstone and P. D. Milman, Relations among analytic functions I, II, Ann. Inst. Fourier (Grenoble) 37 (1) (1987), 187-239; and 37 (2) (1987), 49-77. MR 894566
5.: E. Bierstone and P. D. Milman, Local analytic invariants and splitting theorems in differential analysis, Israel J. Math. 60 (1987), 257-280. MR 937792
6.: E. Bierstone and P. D. Milman, Semianalytic and subanalytic sets, Inst. Hautes Etudes Sci. Publ. Math. 67 (1988), 5-42. MR 972342
7.: A. M. Gabrielov, Formal relations between analytic functions, Functional Anal. Appl. 5 (1971), 318-319. MR 302930
8.: A. M. Gabrielov, Formal relations between analytic functions, USSR Izv. 7 (1973), 1056-1088. MR 346184
9.: M. Galbiati, Stratifications et ensemble de non-cohérence d'un espace analytique réel, Invent. Math. 34 (1976), 113-128. MR 417443
10.: G. Glaeser, Fonctions composées différentiables, Ann. of Math. 77 (1963), 193-209. MR 143058
11.: H. Hironaka, Local analytic dimensions of a subanalytic set, Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), 73-75. MR 839813
12.: S. Izumi, Gabrielov's rank condition is equivalent to an inequality of reduced orders, Math. Ann. 276 (1986), 81-89. MR 863708
13.: J. Merrien, Faisceaux analytiques semi-cohérents, Ann. Inst. Fourier (Grenoble) 30 (1980), 165-219. MR 599629
14.: P. D. Milman, Analytic and polynomial homomorphisms of analytic rings, Math. Ann. 232 (1978), 247-253. MR 492359
15.: W. Pawłucki, On relations among analytic functions and geometry of sub-analytic sets, Bull. Polish Acad. Sci. Math. 37 (1989), 117-125.

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