Bounds for digital nets and sequences
Wolfgang Ch. Schmid, Reinhard Wolf (1997)
Acta Arithmetica
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Wolfgang Ch. Schmid, Reinhard Wolf (1997)
Acta Arithmetica
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J.-H. Evertse, K. Győry (1997)
Acta Arithmetica
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Stefan Johansson (1998)
Acta Arithmetica
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Aleksander Maliszewski (1998)
Fundamenta Mathematicae
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The main goal of this paper is to characterize the family of all functions f which satisfy the following condition: whenever g is a Darboux function and f < g on ℝ there is a Darboux function h such that f < h < g on ℝ.
Jukka Pihko (1993)
Acta Arithmetica
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Yumiko Ichihara (2000)
Acta Arithmetica
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Amir Akbary (2000)
Acta Arithmetica
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Bruce Hughes (1999)
Fundamenta Mathematicae
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Teardrops are generalizations of open mapping cylinders. We prove that the teardrop of a stratified approximate fibration X → Y × ℝ with X and Y homotopically stratified spaces is itself a homotopically stratified space (under mild hypothesis). This is applied to manifold stratified approximate fibrations between manifold stratified spaces in order to establish the realization part of a previously announced tubular neighborhood theory.