### Maximal sets of numbers not containing k+1 pairwise coprime integers

Rudolf Ahlswede, Levon H. Khachatrian (1995)

Acta Arithmetica

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Rudolf Ahlswede, Levon H. Khachatrian (1995)

Acta Arithmetica

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Christopher Hooley (1997)

Acta Arithmetica

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Shin-Ichi Yasutomi (1998)

Acta Arithmetica

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Wolfgang M. Schmidt (1995)

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.

M. B. Levin (1999)

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...

Teresa Bigorajska, Henryk Kotlarski (1999)

Fundamenta Mathematicae

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