On an algebraic version of Tamano’s theorem
Let X be a non-paracompact subspace of a linearly ordered topological space. We prove, in particular, that if a Hausdorff topological group G contains closed copies of X and a Hausdorff compactification bX of X then G is not normal.
Raushan Z. Buzyakova
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Net-Compact Hausdorff Topologies and Continuous Multi-Utility Representations for Closed Preorders
In this paper, we deal with continuous multi-utility representations for closed preorders. We introduce the definition of a net-compact topology, which generalizes the concept of a sequentially compact topology.
Gianni Bosi +2 more
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Boundedness of Multidimensional Dunkl-Hausdorff Operators
In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl ...
Radouan Daher, Faouaz Saadi
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Van der Waerden spaces and Hindman spaces are not the same
A Hausdorff topological space X is van der Waerden if for every sequence (x_n)_n in X there is a converging subsequence (x_n)_{n in A} where subset A of omega contains arithmetic progressions of all finite lengths.
Kojman, Menachem, Shelah, Saharon
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Extension of Compact Operators from DF-spaces to C(K) spaces
It is proved that every compact operator from a DF-space, closed subspace of another DF-space, into the space C(K) of continuous functions on a compact Hausdorff space K can be extended to a compact operator of the total DF-space.
Fernando Garibay Bonales +1 more
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Matrix dilation and Hausdorff operators on modulation spaces
Weichao Guo, Jiangkun Luo, Guoping Zhao
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Geometry of Compact Metric Space in Terms of Gromov-Hausdorff Distances to Regular Simplexes [PDF]
Alexander Ivanov +1 more
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Topographic Gromov-Hausdorff quantum Hypertopology for Quantum Proper Metric Spaces
We construct a topology on the class of pointed proper quantum metric spaces which generalizes the topology of the Gromov-Hausdorff distance on proper metric spaces, and the topology of the dual propinquity on Leibniz quantum compact metric spaces.
Latremoliere, Frederic
core
Universal covers for Hausdorff limits of noncompact spaces [PDF]
Christina Sormani, Guofang Wei
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Fuzzy quasi-triangular spaces, fuzzy sets of Pompeiu-Hausdorff type, and another extensions of Banach and Nadler theorems [PDF]
Kazimierz Włodarczyk
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