Results 31 to 40 of about 100,494 (261)
Pro-Lie Groups: A Survey with Open Problems
Axioms, 2015 A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete ...
Karl H. Hofmann, Sidney A. Morris
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Advances in Group Theory and Applications, 2018 We investigate the atoms of the lattice L(G) of all group topologies on a group G by using the close connection between atoms of L(G), and minimal Hausdorff elements of the lattice L (G/N) for appropriate quotient groups G/N. We show, among others, that virtually hypercentral groups have only degenerate atoms.
Dikranjan D., Khass H., Bazigaran B.
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Quotient on some Generalizations of topological group
مجلة بغداد للعلوم, 2023 In this paper, we define some generalizations of topological group namely -topological group, -topological group and -topological group with illustrative examples. Also, we define grill topological group with respect to a grill. Later, we deliberate the
A. Muneesh Kumar +2 more
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Recurrent and weakly recurrent points in βG
International Journal of Mathematics and Mathematical Sciences, 1986 It is shown in this paper that if βG is the Stone-Čech compactification of a group G, and G satisfying a certain condition, then there is a weakly recurrent point in βG which is not almost periodic, and if another condition will be added, then there is a
Mostafa Nassar
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Topologizing Homeomorphism Groups
Journal of Function Spaces and Applications, 2013 From the author's abstract: ``This paper surveys topologies, called admissible group topologies, of the full group of self-homeomorphisms \(\mathcal H(X)\) of a Tychonoff Space \(X\), which yield continuity of both the group operations and the same time provide continuity of the evaluation function or, in other words, make the evaluation function a ...
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Classification of Cipher Text by Clustering of S-Topological Rough Group
IEEE AccessRough set theory provides valuable tools for handling and analyzing ciphertext, making it a prominent asset in cryptographic applications. Its ability to manage uncertainty and reduce complexity can enhance various aspects of ciphertext management, from ...
D. Keerthana +4 more
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Lattice of compactifications of a topological group [PDF]
Categories and General Algebraic Structures with Applications, 2019 We show that the lattice of compactifications of a topological group $G$ is a complete lattice which is isomorphic to the lattice of all closed normal subgroups of the Bohr compactification $bG$ of $G$.
Wei He, Zhiqiang Xiao
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Topological lattice-ordered groups [PDF]
Pacific Journal of Mathematics, 1979 Several types of hulls and completions of lattice ordered groups have been obtained by algebraic methods. In this paper is laid some groundwork for the application of topological and uniform-space concepts to the same end by setting forth those links—topological, algebraic and semantic— between a topological lattice ordered group H and a topologically ...
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Potential therapeutic targeting of BKCa channels in glioblastoma treatment
Molecular Oncology, EarlyView.This review summarizes current insights into the role of BKCa and mitoBKCa channels in glioblastoma biology, their potential classification as oncochannels, and the emerging pharmacological strategies targeting these channels, emphasizing the translational challenges in developing BKCa‐directed therapies for glioblastoma treatment.
Kamila Maliszewska‐Olejniczak +4 more
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Subtype‐specific enhancer RNAs define transcriptional regulators and prognosis in breast cancers
Molecular Oncology, EarlyView.This study employed machine learning methodologies to perform the subtype‐specific classification of RNA‐seq data sets, which are mapped on enhancers from TCGA‐derived breast cancer patients. Their integration with gene expression (referred to as ProxCReAM eRNAs) and chromatin accessibility profiles has the potential to identify lineage‐specific and ...
Aamena Y. Patel +6 more
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