Results 41 to 50 of about 440,031 (362)
On generalization of homotopy axiom
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 In [S. Kermit, Proc. Amer. Math. Soc., 1972, 31(1):271-275] it was proven that if G is compact topological group or field then in the homotopy axiom for Alexander-Spanier-Kolmogoroff cohomology the parameter segment [0;1] can be replaced by any compact ...
Umed Karimov
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Splitting of extensions in the category of locally compact abelian groups [PDF]
International Journal of Group Theory, 2014 Let $pounds$ be the category of all locally compact abelian (LCA) groups. In this paper, the groups $G$ in $pounds$ are determined such that every extension $0to Xto Yto Gto 0$ with divisible, $sigma-$compact $X$ in $pounds$ splits. We also determine the
Hossein Sahleh , Akbar Alijani
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Spaceability in Banach Spaces Related to Locally Compact Groups
پژوهشهای ریاضی, 2021 In this paper, for a locally compact group and a fixed number , we give some sufficient conditions for the set to be spaceable in . Also, by some special Segal algebras which recently have been introduced, we find spaceable subsets of the Fourier ...
Seyyed Mohammad Tabatabaei +1 more
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Krein’s Theorem in the Context of Topological Abelian Groups
Axioms, 2022 A topological abelian group G is said to have the quasi-convex compactness property (briefly, qcp) if the quasi-convex hull of every compact subset of G is again compact.
Tayomara Borsich +2 more
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On locally compact semitopological O-bisimple inverse ω-semigroups
Topological Algebra and its Applications, 2018 We describe the structure of Hausdorff locally compact semitopological O-bisimple inverse ω- semigroups with compact maximal subgroups. In particular, we show that a Hausdorff locally compact semitopological O-bisimple inverse ω-semigroup with a compact ...
Gutik Oleg
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Slice Theorem For Differential Spaces And Reduction By Stages
Demonstratio Mathematica, 2014 We show that the space P/G of orbits of a proper action of a Lie group G on a locally compact differential space P is a locally compact differential space with quotient topology.
Lusala Tsasa, Śniatycki Jędrzej
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Generalized Analogs of the Heisenberg Uncertainty Inequality [PDF]
, 2015 We investigate locally compact topological groups for which a generalized analogue of Heisenberg uncertainty inequality hold. In particular, it is shown that this inequality holds for $\mathbb{R}^n \times K$ (where $K$ is a separable unimodular locally ...
Bansal, Ashish, Kumar, Ajay
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Locally compact topologies for groups [PDF]
Transactions of the American Mathematical Society, 1967 The investigations leading to this paper were suggested by the papers of Hewitt [3] and Ross [5]. In [3] Hewitt was interested in proving that if an abelian group is locally compact in two topologies, one strictly stronger than the other, there is a character continuous in one topology and discontinuous in the other (actually a special case of a ...
openaire +2 more sources
Uniformly continuous functionals on the Fourier algebra of any locally compact group
, 1979 Let G be any locally compact group. Let VN(G) be the von Neumann algebra generated by the left regular representation of G. We study in this paper the closed subspace UBC(G) of VN(G) consisting of the uniformly continuous functionals as defined by E ...
A. Lau
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Decomposing locally compact groups into simple pieces [PDF]
, 2008 We present a contribution to the structure theory of locally compact groups. The emphasis is on compactly generated locally compact groups which admit no infinite discrete quotient.
Bourbaki +18 more
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