Improper intersections in complex analytic geometry
Krzysztof Jan Nowak
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Krzysztof Jan Nowak
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Krzysztof Jan Nowak (2001)
Annales Polonici Mathematici
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R. Achilles, P. Tworzewski, T. Winiarski (1990)
Annales Polonici Mathematici
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Jovan D. Keckic (1969)
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Tsin-Hwa Shu (1961)
Annales Polonici Mathematici
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R. M. Shortt (1987)
Colloquium Mathematicae
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Zapiski Nauchnykh Seminarov POMI
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Annales Polonici Mathematici
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We consider the intersection multiplicity of analytic sets in the general situation. We prove that it is a regular separation exponent for complex analytic sets and so it estimates the Łojasiewicz exponent. We also give some geometric properties of proper projections of analytic sets.
Aouf, M. K., Shamandy, A., Mostafa, A. O., Madian, S. M. (2011)
Mathematica Balkanica New Series
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2000 Mathematics Subject Classification: 30C45
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Annales Polonici Mathematici
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Colloquium Mathematicae
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We give a different proof of the well-known fact that any uncountable family of analytic subsets of a Polish space with the point-finite intersection property must contain a subfamily whose union is not analytic. Our approach is based on the Kunen-Martin theorem.
Cătaş, Adriana (2008)
Banach Journal of Mathematical Analysis [electronic only]
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F. J. Cirre (1997)
Revista Matemática de la Universidad Complutense de Madrid
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We give an elementary proof of a theorem of Andreian Cazacu on the behavior of morphisms of Klein surfaces under composition.