Cohomology groups of units in -extensions
Mingzhi Xu (1998)
Acta Arithmetica
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Mingzhi Xu (1998)
Acta Arithmetica
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Jerzy Jezierski (1996)
Fundamenta Mathematicae
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We define a relative coincidence Nielsen number for pairs of maps between manifolds, prove a Wecken type theorem for this invariant and give some formulae expressing by the ordinary Nielsen numbers.
W. Jurkat, D. Nonnenmacher (1994)
Fundamenta Mathematicae
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Specializing a recently developed axiomatic theory of non-absolutely convergent integrals in , we are led to an integration process over quite general sets with a regular boundary. The integral enjoys all the usual properties and yields the divergence theorem for vector-valued functions with singularities in a most general form.
Marcel Bökstedt, Iver Ottosen (1999)
Fundamenta Mathematicae
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Let X be a space with free loop space ΛX and mod two cohomology R = H*X. We construct functors and ℓ(R) together with algebra homomorphisms and . When X is 1-connected and R is a symmetric algebra we show that these are isomorphisms.
Krzysztof Barański (1998)
Fundamenta Mathematicae
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This is the first part of the work studying the family of all rational maps of degree three with two superattracting fixed points. We determine the topological type of the moduli space of and give a detailed study of the subfamily consisting of maps with a critical point which is periodic of period 2. In particular, we describe a parabolic bifurcation in from Newton maps to maps with so-called exotic basins.
Albrecht Pfister (1997)
Acta Arithmetica
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A. Fabianom, G. Pucci, A. Yger (1996)
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.
J.-H. Evertse, K. Győry (1997)
Acta Arithmetica
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Yuji Hasegawa (1997)
Acta Arithmetica
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Alain Lasjaunias (2000)
Acta Arithmetica
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Henk Bruin (1998)
Fundamenta Mathematicae
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Let be the tent map with slope a. Let c be its turning point, and the absolutely continuous invariant probability measure. For an arbitrary, bounded, almost everywhere continuous function g, it is shown that for almost every a, . As a corollary, we deduce that the critical point of a quadratic map is generically not typical for its absolutely continuous invariant probability measure, if it exists.
Jonathan Pila, Fernando Rodriguez Villegas (1999)
Acta Arithmetica
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A classic theorem of Pólya shows that the function is the “smallest” integral-valued entire transcendental function. A variant due to Gel’fond applies to entire functions taking integral values on a geometric progression of integers, and Bézivin has given a generalization of both results. We give a sharp formulation of Bézivin’s result together with a further generalization.