Ray class fields of global function fields with many rational places
Roland Auer (2000)
Acta Arithmetica
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Roland Auer (2000)
Acta Arithmetica
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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.
Glyn Harman (1998)
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.
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.
Harald Niederreiter, Chaoping Xing (1996)
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.