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On approximation of analytic sets

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Abstract.

We give conditions sufficient for the existence of a sequence of Nash sets convergent to a given analytic set. Moreover, for limit sets which are k-sheeted analytic covers we additionally require that sets in approximating sequence are also k-sheeted analytic covers. Then we present examples of applications of the developed theory.

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Authors and Affiliations

  1. Computer Science Department, Jagiellonian University, Nawojki 11, PL-30-072, Kraków, Poland

    Marcin Bilski

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  1. Marcin Bilski
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Correspondence to Marcin Bilski.

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Research partially supported by KBN Grant no. 2P03A 015 22

Mathematics Subject Classification (2000): 32E30, 32C07, 32C25

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Bilski, M. On approximation of analytic sets. manuscripta math. 114, 45–60 (2004). https://doi.org/10.1007/s00229-004-0446-0

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  • DOI: https://doi.org/10.1007/s00229-004-0446-0

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