Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
By an open neighbourhood in ℂⁿ of an open subset Ω of ℝⁿ we mean an open subset Ω' of ℂⁿ such that ℝⁿ ∩ Ω' = Ω. A well known result of H. Grauert implies that any open subset of ℝⁿ admits a fundamental system of Stein open neighbourhoods in ℂⁿ. Another way to state this property is to say that each open subset of ℝⁿ is Stein. We shall prove a similar result in the subanalytic category: every subanalytic open subset in a paracompact real analytic manifold M admits a fundamental system of subanalytic Stein open neighbourhoods in any complexification of M.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
265-274
Opis fizyczny
Daty
wydano
2011
Twórcy
autor
- Institut Élie Cartan, Université de Nancy, Laboratoire de Mathématiques, B.P. 239, 54506 Vandœuvre-lès-Nancy Cedex, France
- Centro de Matemática e Aplicações Fundamentais, Departamento de Matemática, da Faculdade de Ciências, da Universidade de Lisboa, Edifício C6, P.2, Campo Grande, 1749-16 Lisboa, Portugal
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-sm204-3-5