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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Nash equidimensionality theorem
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by Masato Fujita PDF
Proc. Amer. Math. Soc. 133 (2005), 363-367 Request permission

Abstract:

Consider a Nash mapping of Nash subsets. After a finite number of Nash blowings-up, the Nash mapping induced from it has equidimensional fibers. The purpose of this short note is to show this Nash equidimensionality theorem.
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Additional Information
  • Masato Fujita
  • Affiliation: Department of Mathematics, Kyoto University, Kyoto, 606-8502 Japan
  • Email: fujita@math.kyoto-u.ac.jp
  • Received by editor(s): December 12, 2002
  • Received by editor(s) in revised form: July 10, 2003
  • Published electronically: September 2, 2004
  • Communicated by: Michael Stillman
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 363-367
  • MSC (2000): Primary 14P20
  • DOI: https://doi.org/10.1090/S0002-9939-04-07441-6
  • MathSciNet review: 2093056