The Conley index for decompositions of isolated invariant sets
Andrzej Szymczak (1995)
Fundamenta Mathematicae
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Andrzej Szymczak (1995)
Fundamenta Mathematicae
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Karen Brucks, Henk Bruin (1999)
Fundamenta Mathematicae
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We discuss the inverse limit spaces of unimodal interval maps as topological spaces. Based on the combinatorial properties of the unimodal maps, properties of the subcontinua of the inverse limit spaces are studied. Among other results, we give combinatorial conditions for an inverse limit space to have only arc+ray subcontinua as proper (non-trivial) subcontinua. Also, maps are constructed whose inverse limit spaces have the inverse limit spaces of a prescribed set of periodic unimodal...
Saharon Shelah, Oren Kolman (1996)
Fundamenta Mathematicae
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We assume a theory T in the logic is categorical in a cardinal λ κ, and κ is a measurable cardinal. We prove that the class of models of T of cardinality < λ (but ≥ |T|+κ) has the amalgamation property; this is a step toward understanding the character of such classes of models.
Gary Gruenhage, Piotr Koszmider (1996)
Fundamenta Mathematicae
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We construct a consistent example of a normal locally compact metacompact space which is not paracompact, answering a question of A. V. Arkhangel’skiĭ and F. Tall. An interplay between a tower in P(ω)/Fin, an almost disjoint family in , and a version of an (ω,1)-morass forms the core of the proof. A part of the poset which forces the counterexample can be considered a modification of a poset due to Judah and Shelah for obtaining a Q-set by a countable support iteration.
Manfred Lochter (1994)
Acta Arithmetica
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J.-H. Evertse, K. Győry (1997)
Acta Arithmetica
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