A curious property of series involving terms of generalized sequences.
Brugia, Odoardo, Filipponi, Piero (2000)
International Journal of Mathematics and Mathematical Sciences
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Brugia, Odoardo, Filipponi, Piero (2000)
International Journal of Mathematics and Mathematical Sciences
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Hans-Joachim Baues, Manfred Hartl (1996)
Fundamenta Mathematicae
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The homotopy category of Moore spaces in degree 2 represents a nontrivial cohomology class in the cohomology of the category of abelian groups. We describe various properties of this class. We use James-Hopf invariants to obtain explicitly the image category under the functor chain complex of the loop space.
Saharon Shelah (1998)
Fundamenta Mathematicae
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The main result is that for λ strong limit singular failing the continuum hypothesis (i.e. ), a polarized partition theorem holds.
Nobuyuki Kemoto, Tsugunori Nogura, Kerry Smith, Yukinobu Yajima (1996)
Fundamenta Mathematicae
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Let λ be an ordinal number. It is shown that normality, collectionwise normality and shrinking are equivalent for all subspaces of .
M. Charalambous (1998)
Fundamenta Mathematicae
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We prove a factorization theorem for transfinite kernel dimension in the class of metrizable spaces. Our result in conjunction with Pasynkov's technique implies the existence of a universal element in the class of metrizable spaces of given weight and transfinite kernel dimension, a result known from the work of Luxemburg and Olszewski.
Sibe Mardešić (1998)
Fundamenta Mathematicae
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In the existing literature there are several constructions of the strong shape category of topological spaces. In the one due to Yu. T. Lisitsa and S. Mardešić [LM1-3] an essential role is played by coherent polyhedral (ANR) expansions of spaces. Such expansions always exist, because every space admits a polyhedral resolution, resolutions are strong expansions and strong expansions are always coherent. The purpose of this paper is to prove that conversely, every coherent polyhedral (ANR)...
Kudajbergenov, K.Zh. (2000)
Siberian Mathematical Journal
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Paul Corazza (1997)
Fundamenta Mathematicae
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We define a new large cardinal axiom that fits between and in the hierarchy of axioms described in [SRK]. We use this new axiom to obtain a Laver sequence for extendible cardinals, improving the known large cardinal upper bound for the existence of such sequences.
Harald Niederreiter, Arne Winterhof (2000)
Acta Arithmetica
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Franz Hofbauer, Peter Raith (1998)
Fundamenta Mathematicae
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Transformations T:[0,1] → [0,1] with two monotonic pieces are considered. Under the assumption that T is topologically transitive and , it is proved that the invariant measures concentrated on periodic orbits are dense in the set of all invariant probability measures.
Jiryo Komeda (1997)
Acta Arithmetica
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