Semianalytic and subanalytic sets
Edward Bierstone, Pierre D. Milman (1988)
Publications Mathématiques de l'IHÉS
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Edward Bierstone, Pierre D. Milman (1988)
Publications Mathématiques de l'IHÉS
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G. Nardelli, A. Tancredi (1996)
Revista Matemática de la Universidad Complutense de Madrid
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Let X be a closed analytic subset of an open subset Omega of Rn. We look at the problem of extending functions from X to Omega.
Roberto Pignoni (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Masahiro Shiota (1981)
Publications Mathématiques de l'IHÉS
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M.E. Herrera (1966)
Bulletin de la Société Mathématique de France
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F. Acquistapace, F. Broglia, A. Tognoli (1996)
Revista Matemática de la Universidad Complutense de Madrid
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We give some approximation theorems in the Whitney topology for a general class of analytic fiber bundles. This leads to a classification theorem which generalizes the classical ones.
Herwig Hauser, Gerd Müller (1990)
Compositio Mathematica
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Edward Bierstone, P. D. Milman (1987)
Annales de l'institut Fourier
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Neither real analytic sets nor the images of real or complex analytic mappings are, in general, coherent. Let be a morphism of real analytic spaces, and let be a homomorphism of coherent modules over the induced ring homomorphism . We conjecture that, despite the failure of coherence, certain natural discrete invariants of the modules of formal relations , , are upper semi-continuous in the analytic Zariski topology of . We prove semicontinuity in many cases (e.g. in the algebraic...