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1
Content available remote

Calculs de dimensions de packing

100%
Nasr F. B.
Colloquium Mathematicum
|
1996
|
tom 71
|
nr 1
137-148
2
Content available remote

Dimensionsgrad for locally connected Polish spaces

100%
Fedorchuk V. V., van Mill J.
Fundamenta Mathematicae
|
2000
|
tom 163
|
nr 1
77-82
EN
It is shown that for every n ≥ 2 there exists an n-dimensional locally connected Polish space with Dimensionsgrad 1.
3
Content available remote

Lacunarité à la Hadamard et équirépartition

100%
Fan A. H.
Colloquium Mathematicum
|
1993
|
tom 66
|
nr 1
151-163
FR
On introduit une nouvelle méthode pour démontrer le théorème de Weyl et le théorème de Erdős-Taylor concernant l'équirépartition mod 1 de ${λ_{n}x}$. Cette méthode fait intervenir des produits de Riesz et s'adapte bien au cas de plusieures dimensions.
4
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On strong uniform distribution, II. The infinite-dimensional case

88%
Lacroix Y.
Acta Arithmetica
|
1998
|
tom 84
|
nr 3
279-290
EN
We construct infinite-dimensional chains that are L¹ good for almost sure convergence, which settles a question raised in this journal [N]. We give some conditions for a coprime generated chain to be bad for L² or $L^∞$, using the entropy method. It follows that such a chain with positive lower density is bad for $L^∞$. There also exist such bad chains with zero density.
5
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On approximate inverse systems and resolutions

75%
Mardešić S.
Fundamenta Mathematicae
|
1993
|
tom 142
|
nr 3
241-255
EN
Recently, L. R. Rubin, T. Watanabe and the author have introduced approximate inverse systems and approximate resolutions, a new tool designed to study topological spaces. These systems differ from the usual inverse systems in that the bonding maps $p_{aa'}$ are not subject to the commutativity requirement $p_{aa' p_{a'a''} = p_{aa''}, a ≤ a' ≤ a''$. Instead, the mappings $p_{aa'}p_{a'a''}$ and $p_{aa''}$ are allowed to differ in a way controlled by coverings $U_a$, called meshes, which are associated with the members $X_a$ of the system. The purpose of this paper is to consider a more general and much simpler notion of approximate system and approximate resolution, which does not require meshes. The main result is a construction which associates with any approximate resolution in the new sense an approximate resolution in the previous sense in such a way that previously obtained results remain valid in the present more general setting.
6
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On a theorem of P. S. Aleksandrov

75%
Karno Z.
Colloquium Mathematicum
|
1997
|
tom 72
|
nr 1
39-51
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