- Tytuł:
- Expansions of the real line by open sets: o-minimality and open cores
- Autorzy:
-
Miller, Chris
Speissegger, Patrick - Powiązania:
- https://bibliotekanauki.pl/articles/1205131.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Opis:
- The open core of a structure ℜ := (ℝ,<,...) is defined to be the reduct (in the sense of definability) of ℜ generated by all of its definable open sets. If the open core of ℜ is o-minimal, then the topological closure of any definable set has finitely many connected components. We show that if every definable subset of ℝ is finite or uncountable, or if ℜ defines addition and multiplication and every definable open subset of ℝ has finitely many connected components, then the open core of ℜ is o-minimal.
- Źródło:
-
Fundamenta Mathematicae; 1999, 162, 3; 193-208
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł