Displaying similar documents to “Hausdorff dimension and a generalized form of simultaneous Diophantine approximation”

On the insertion of Darboux functions

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.

Brown–Peterson cohomology and Morava K-theory of DI(4) and its classifying space

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...

Quasivarieties of pseudocomplemented semilattices

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 2 ω quasivarieties.