Proof of a conjecture of Selmer
Jukka Pihko (1993)
Acta Arithmetica
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Jukka Pihko (1993)
Acta Arithmetica
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Julien Cassaigne, Sébastien Ferenczi, Christian Mauduit, Jöel Rivat, András Sárközy (1999)
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.
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.
Stefan Johansson (1998)
Acta Arithmetica
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Wolfgang M. Schmidt (1995)
Acta Arithmetica
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Amir Akbary (2000)
Acta Arithmetica
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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...