JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)

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Infinite relative determinacy of smooth map-germs

SHI Chang-mei1, 2, PEI Dong-he1*   

  1. 1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, China;
    2. School of Mathematics and Computer Science, Guizhou Normal College, Guiyang 550018, Guizhou, China
  • Received:2013-02-06 Online:2014-04-20 Published:2014-06-03

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Abstract: The infinite determinacy of smooth map-germs relative to a subgroup of contact group will be investigated. It defines the infinite relative determination for smooth map-germs, then the necessary and sufficient conditions for a smooth map-germ to be infinitely relative determined are given.

Key words: Infinite relative determinacy, map-germ, contact equivalence, radical idea

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