Results 61 to 70 of about 12,992,220 (343)
On Hereditarily Normal Topological Groups
, 2012 In this paper we investigate hereditarily normal topological groups and their subspaces. We prove that every compact subspace of a hereditarily normal topological group is metrizable.
Buzyakova, Raushan
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Irish Mathematical Society Bulletin, 1961 0. Introduction. In [3; 6; 11] the basic questions of the existence and of the uniqueness of free topological and free topological abelian groups are discussed. Below we present a different approach to these questions and then indicate the consequences of this approach.
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Separability of Topological Groups: A Survey with Open Problems
Axioms, 2018 Separability is one of the basic topological properties. Most classical topological groups and Banach spaces are separable; as examples we mention compact metric groups, matrix groups, connected (finite-dimensional) Lie groups; and the Banach spaces ...
Arkady G. Leiderman, Sidney A. Morris
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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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, 2022 The word “Mathematics” comes from Greek word “Mathema” which means science, knowledge or learning; mathematiko’s means fond of learning. Today the term refers to specific body of knowledge - the deductive study of quantity structure, space and change. The basic problems of topology are to determine whether two given topological spaces are homomorphism ...
V. Ramya, Dr. D. R. Kirubakaran
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Evolutionary interplay between viruses and R‐loops
FEBS Letters, EarlyView.Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi +4 more
wiley +1 more source
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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The Free Abelian Topological Group and the Free Locally Convex Space on the Unit Interval [PDF]
, 1992 We give a complete description of the topological spaces X such that the free abelian topological group A(X) embeds into the free abelian topological group A(I) on the closed unit interval.
A. Leiderman, S. Morris, V. Pestov
semanticscholar +1 more source
Possible role of human ribonuclease dicer in the regulation of R loops
FEBS Open Bio, EarlyView.R loops play an important role in regulating key cellular processes such as replication, transcription, centromere stabilization, or control of telomere length. However, the unscheduled accumulation of R loops can cause many diseases, including cancer, and neurodegenerative or inflammatory disorders. Interestingly, accumulating data indicate a possible
Klaudia Wojcik +2 more
wiley +1 more source
Advanced Biology, EarlyView.The axolotl's remarkable regenerative abilities decline with age, the causes may include the numerous repetitive elements within its genome. This study uncovers how Ty3 retrotransposons and coexpression networks involving muscle and immune pathways respond to aging and regeneration, suggesting that transposons respond to physiological shifts and may ...
Samuel Ruiz‐Pérez +8 more
wiley +1 more source