Generalised Swan modules and the D(2) problem.
Edwards, Tim (2006)
Algebraic & Geometric Topology
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Edwards, Tim (2006)
Algebraic & Geometric Topology
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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.
Ragnarsson, Kári (2006)
Algebraic & Geometric Topology
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Daciberg Gonçalves, Jerzy Jezierski (1997)
Fundamenta Mathematicae
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We generalize the Lefschetz coincidence theorem to non-oriented manifolds. We use (co-) homology groups with local coefficients. This generalization requires the assumption that one of the considered maps is orientation true.
A. Borisov, M. Filaseta, T. Y. Lam, O. Trifonov (1999)
Acta Arithmetica
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Harald Niederreiter, Chaoping Xing (1998)
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.