Proof of a conjecture of Selmer
Jukka Pihko (1993)
Acta Arithmetica
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Jukka Pihko (1993)
Acta Arithmetica
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J.-H. Evertse, K. Győry (1997)
Acta Arithmetica
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Karen Brucks, Henk Bruin (1999)
Fundamenta Mathematicae
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We discuss the inverse limit spaces of unimodal interval maps as topological spaces. Based on the combinatorial properties of the unimodal maps, properties of the subcontinua of the inverse limit spaces are studied. Among other results, we give combinatorial conditions for an inverse limit space to have only arc+ray subcontinua as proper (non-trivial) subcontinua. Also, maps are constructed whose inverse limit spaces have the inverse limit spaces of a prescribed set of periodic unimodal...
Manfred Lochter (1994)
Acta Arithmetica
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Andrzej Szymczak (1995)
Fundamenta Mathematicae
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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.