Results 41 to 50 of about 311,330 (338)
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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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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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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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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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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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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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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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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Commutative Topological Semigroups Embedded into Topological Abelian Groups
Axioms, 2020 In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
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Homogeneous Locally Compact Groups
Journal of Algebra, 1998 Motivated by their occurrence in topological geometry, the author studies locally compact groups that are homogeneous in the sense that their automorphism group acts transitively on the non-identity elements. The main results say that compact homogeneous groups are precisely the arbitrary powers of cyclic groups of prime order (with product topology ...
openaire +2 more sources