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.
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.
J.-H. Evertse, K. Győry (1997)
Acta Arithmetica
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Wolfgang Lück (1999)
Fundamenta Mathematicae
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We introduce the universal functorial Lefschetz invariant for endomorphisms of finite CW-complexes in terms of Grothendieck groups of endomorphisms of finitely generated free modules. It encompasses invariants like Lefschetz number, its generalization to the Lefschetz invariant, Nielsen number and -torsion of mapping tori. We examine its behaviour under fibrations.
Roland Auer (2000)
Acta Arithmetica
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Andrzej Rosłanowski, Saharon Shelah (1998)
Fundamenta Mathematicae
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We deal with some problems posed by Monk [Mo 1], [Mo 3] and related to cardinal invariants of ultraproducts of Boolean algebras. We also introduce and investigate several new cardinal invariants.
Yuji Hasegawa (1997)
Acta Arithmetica
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Stefan Johansson (1998)
Acta Arithmetica
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M. Adams, Wiesław Dziobiak, Matthew Gould, Jürg Schmid (1995)
Fundamenta Mathematicae
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Two properties of the lattice of quasivarieties of pseudocomplemented semilattices are established, namely, in the quasivariety generated by the 3-element chain, there is a sublattice freely generated by ω elements and there are quasivarieties.