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The Khintchine-Groshev theorem for planar curves

✍ Scribed by Beresnevich, V. V.; Bernik, V. I.; Dickinson, H.; Dodson, M. M.

Book ID: 120148720
Publisher: The Royal Society
Year: 1999
Tongue: English
Weight: 355 KB
Volume: 455
Category: Article
ISSN: 0962-8444
DOI: 10.1098/rspa.1999.0439

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We show that a compact set F in the plane R 2 is the union of boundaries of a map if and only if each point of F is on the boundary of at least two arcwise connected components of R2\F, and it is accessible from each of those components.