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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J.-H. Evertse, K. Győry (1997)
Acta Arithmetica
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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.
Davide Ferrario (1998)
Fundamenta Mathematicae
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In order to compute the Nielsen number N(f) of a self-map f: X → X, some Reidemeister classes in the fundamental group need to be distinguished. In this paper some algebraic results are given which allow distinguishing Reidemeister classes and hence computing the Reidemeister number of some maps. Examples of computations are presented.
A. Borisov, M. Filaseta, T. Y. Lam, O. Trifonov (1999)
Acta Arithmetica
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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...
Marcy Barge, Beverly Diamond (1995)
Fundamenta Mathematicae
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We present a new technique for showing that inverse limit spaces of certain one-dimensional Markov maps are not homeomorphic. In particular, the inverse limit spaces for the three maps from the tent family having periodic kneading sequence of length five are not homeomorphic.