Separation of global semianalytic sets
Hamedou Diakite
Annales Polonici Mathematici, Tome 95 (2009), p. 179-186 / Harvested from The Polish Digital Mathematics Library

Given global semianalytic sets A and B, we define a minimal analytic set N such that Ā∖N and B̅∖N can be separated by an analytic function. Our statement is very similar to the one proved by Bröcker for semialgebraic sets.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:280808
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     author = {Hamedou Diakite},
     title = {Separation of global semianalytic sets},
     journal = {Annales Polonici Mathematici},
     volume = {95},
     year = {2009},
     pages = {179-186},
     zbl = {1165.14038},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-2-8}
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Hamedou Diakite. Separation of global semianalytic sets. Annales Polonici Mathematici, Tome 95 (2009) pp. 179-186. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-2-8/