Proof of a conjecture of Selmer
Jukka Pihko (1993)
Acta Arithmetica
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Jukka Pihko (1993)
Acta Arithmetica
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James Hirschorn (2000)
Fundamenta Mathematicae
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We formulate variants of the cardinals f, p and t in terms of families of measurable functions, in order to examine the effect upon these cardinals of adding one random real.
Wolfgang Ch. Schmid, Reinhard Wolf (1997)
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.
Marta Santos (1999)
Fundamenta Mathematicae
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DI(4) is the only known example of an exotic 2-compact group, and is conjectured to be the only one. In this work, we study generalized cohomology theories for DI(4) and its classifying space. Specifically, we compute the Morava K-theories, and the P(n)-cohomology of DI(4). We use the non-commutativity of the spectrum P(n) at p=2 to prove the non-homotopy nilpotency of DI(4). Concerning the classifying space, we prove that the BP-cohomology and the Morava K-theories of BDI(4) are all...
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.
Wolfgang M. Schmidt (1995)
Acta Arithmetica
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Shin-Ichi Yasutomi (1998)
Acta Arithmetica
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M. Adams, Wiesław Dziobiak, Matthew Gould, Jürg Schmid (1995)
Fundamenta Mathematicae
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Two properties of the lattice of quasivarieties of pseudocomplemented semilattices are established, namely, in the quasivariety generated by the 3-element chain, there is a sublattice freely generated by ω elements and there are quasivarieties.