Results 61 to 70 of about 92,619 (185)

On an algebraic version of Tamano’s theorem

open access: yesApplied General Topology, 2009
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
doaj   +1 more source

Net-Compact Hausdorff Topologies and Continuous Multi-Utility Representations for Closed Preorders

open access: yesAxioms
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
doaj   +1 more source

Boundedness of Multidimensional Dunkl-Hausdorff Operators

open access: yesJournal of Function Spaces, 2020
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
doaj   +1 more source

Van der Waerden spaces and Hindman spaces are not the same

open access: yes, 2001
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
core   +1 more source

Extension of Compact Operators from DF-spaces to C(K) spaces

open access: yesApplied General Topology, 2006
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
doaj   +1 more source

Matrix dilation and Hausdorff operators on modulation spaces

open access: green, 2022
Weichao Guo, Jiangkun Luo, Guoping Zhao
openalex   +1 more source

Topographic Gromov-Hausdorff quantum Hypertopology for Quantum Proper Metric Spaces

open access: yes, 2014
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  

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