Separation of global semianalytic sets

Hamedou Diakite

Annales Polonici Mathematici (2009)

  • Volume: 95, Issue: 2, page 179-186
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Hamedou Diakite. "Separation of global semianalytic sets." Annales Polonici Mathematici 95.2 (2009): 179-186. <http://eudml.org/doc/280808>.

@article{HamedouDiakite2009,
abstract = {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.},
author = {Hamedou Diakite},
journal = {Annales Polonici Mathematici},
keywords = {global analytic set; global semianalytic set; separation},
language = {eng},
number = {2},
pages = {179-186},
title = {Separation of global semianalytic sets},
url = {http://eudml.org/doc/280808},
volume = {95},
year = {2009},
}

TY - JOUR
AU - Hamedou Diakite
TI - Separation of global semianalytic sets
JO - Annales Polonici Mathematici
PY - 2009
VL - 95
IS - 2
SP - 179
EP - 186
AB - 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.
LA - eng
KW - global analytic set; global semianalytic set; separation
UR - http://eudml.org/doc/280808
ER -

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