### Linear relations between roots of polynomials

Kurt Girstmair (1999)

Acta Arithmetica

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Kurt Girstmair (1999)

Acta Arithmetica

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Claudia Spiro-Silverman (1995)

Acta Arithmetica

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G. R. Everest, K. Győry (1997)

Acta Arithmetica

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Richard Millspaugh, Leonard Rubin, Philip Schapiro (1995)

Fundamenta Mathematicae

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Stanisław Świerczkowski (1995)

Fundamenta Mathematicae

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G. Hjorth (2000)

Fundamenta Mathematicae

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Non-abelian Polish groups arising as countable products of countable groups can be tame in arbitrarily complicated ways. This contrasts with some results of Solecki who revealed a very different picture in the abelian case.

Christopher McCord (1997)

Fundamenta Mathematicae

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Nielsen theory, originally developed as a homotopy-theoretic approach to fixed point theory, has been translated and extended to various other problems, such as the study of periodic points, coincidence points and roots. In this paper, the techniques of Nielsen theory are applied to the study of intersections of maps. A Nielsen-type number, the Nielsen intersection number NI(f,g), is introduced, and shown to have many of the properties analogous to those of the Nielsen fixed point number....

M. Mulero (1998)

Fundamenta Mathematicae

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Every continuous map X → S defines, by composition, a homomorphism between the corresponding algebras of real-valued continuous functions C(S) → C(X). This paper deals with algebraic properties of the homomorphism C(S) → C(X) in relation to topological properties of the map X → S. The main result of the paper states that a continuous map X → S between topological manifolds is a finite (branched) covering, i.e., an open and closed map whose fibres are finite, if and only if the induced...