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Geometric and differential properties of subanalytic sets
Authors:
Edward Bierstone and Pierre D. Milman
Journal:
Bull. Amer. Math. Soc. 25 (1991), 385-393
MSC (1985):
Primary 32B20, 58C27; Secondary 32C42, 32K15
MathSciNet review:
1102751
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Joseph
Becker and William
R. Zame, Applications of functional analysis to the solution of
power series equations, Math. Ann. 243 (1979),
no. 1, 37–54. MR 543093
(82k:32029), http://dx.doi.org/10.1007/BF01420205
- 2.
Edward
Bierstone and Pierre
D. Milman, Composite differentiable functions, Ann. of Math.
(2) 116 (1982), no. 3, 541–558. MR 678480
(84a:58016), http://dx.doi.org/10.2307/2007022
- 3.
Edward
Bierstone and Pierre
D. Milman, The Newton diagram of an analytic
morphism, and applications to differentiable functions, Bull. Amer. Math. Soc. (N.S.) 9 (1983), no. 3, 315–318. MR 714993
(85g:58016), http://dx.doi.org/10.1090/S0273-0979-1983-15190-X
- 4.
E.
Bierstone and P.
D. Milman, Relations among analytic functions. I, Ann. Inst.
Fourier (Grenoble) 37 (1987), no. 1, 187–239
(English, with French summary). MR 894566
(88g:32013a)
- 5.
Edward
Bierstone and Pierre
D. Milman, Local analytic invariants and splitting theorems in
differential analysis, Israel J. Math. 60 (1987),
no. 3, 257–280. MR 937792
(89g:58021), http://dx.doi.org/10.1007/BF02780394
- 6.
Edward
Bierstone and Pierre
D. Milman, Semianalytic and subanalytic sets, Inst. Hautes
Études Sci. Publ. Math. 67 (1988), 5–42. MR 972342
(89k:32011)
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(54 #5493)
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Ann. of Math. (2) 77 (1963), 193–209 (French). MR 0143058
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Proc. Japan Acad. Ser. A Math. Sci. 62 (1986), no. 2,
73–75. MR
839813 (87k:32012)
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no. 1, 81–89. MR 863708
(87j:32021), http://dx.doi.org/10.1007/BF01450926
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Merrien, Faisceaux analytiques semi-cohérents, Ann.
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(58 #11486)
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W. Pawłucki, On relations among analytic functions and geometry of sub-analytic sets, Bull. Polish Acad. Sci. Math. 37 (1989), 117-125.
- 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.
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- 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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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1991-16081-7
PII:
S 0273-0979(1991)16081-7
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