We prove the existence of a bound to the number of components of an for-all-definable set in the reals, using Pfaffian functions, and give some applications.
机构:
Univ Utrecht, Inst Math, NL-3508 TA Utrecht, NetherlandsUniv Utrecht, Inst Math, NL-3508 TA Utrecht, Netherlands
van de Leur, Johan W.
Orlov, Alexander Yu.
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机构:
RAS, Inst Oceanol, Moscow 117901, Russia
Natl Res Univ, Higher Sch Econ, Int Lab Representat Theory & Math Phys, Dubna 101000, RussiaUniv Utrecht, Inst Math, NL-3508 TA Utrecht, Netherlands