Topological Ω-stability of Axiom A flows with no Ω-explosions
نویسندگان
چکیده
منابع مشابه
ω-NARROWNESS AND RESOLVABILITY OF TOPOLOGICAL GENERALIZED GROUPS
Abstract. A topological group H is called ω -narrow if for every neighbourhood V of it’s identity element there exists a countable set A such that V A = H = AV. A semigroup G is called a generalized group if for any x ∈ G there exists a unique element e(x) ∈ G such that xe(x) = e(x)x = x and for every x ∈ G there exists x − 1 ∈ G such that x − 1x = xx − 1 = e(x). Also le...
متن کاملC stability and Ω - stability conjectures for flows
There is a gap in the proof of Lemma VII.4 in [1]. We present an alternative proof of Theorem B (C 1 Ω-stable vector fields satisfy Axiom A) in [1]. The novel and essential part in the proof of the stability and Ω-stability conjectures for flows is the connecting lemma introduced in [1]. A mistake in the proof of the last conjecture was pointed out to me by Toyoshiba [5], who later also provide...
متن کاملSome Topological Properties of Ω-covering Sets
We prove the following theorems: 1. There exists an ω-covering with the property s0. 2. Under cov(N ) = 2 there exists X such that ∀B∈Bor[B ∩ X is not an ω-covering or X \B is not an ω-covering]. 3. Also we characterize the property of being an ω-covering.
متن کاملTopological Complexity of ω-Powers : Extended Abstract
1 Equipe Modèles de Calcul et Complexité Laboratoire de l’Informatique du Parallélisme CNRS et Ecole Normale Supérieure de Lyon 46, Allée d’Italie 69364 Lyon Cedex 07, France. [email protected] 2 Equipe d’Analyse Fonctionnelle Université Paris 6 4, place Jussieu, 75 252 Paris Cedex 05, France [email protected] and Université de Picardie, I.U.T. de l’Oise, site de Creil, 13, all...
متن کاملWoodin's axiom (*), bounded forcing axioms, and precipitous ideals on ω₁
If the Bounded Proper Forcing Axiom BPFA holds, then Mouse Reflection holds at א2 with respect to all mouse operators up to the level of Woodin cardinals in the next ZFC–model. This yields that if Woodin’s Pmax axiom (∗) holds, then BPFA implies that V is closed under the “Woodin-in-the-nextZFC–model” operator. We also discuss stronger Mouse Reflection principles which we show to follow from st...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1979
ISSN: 0022-0396
DOI: 10.1016/0022-0396(79)90031-7