Results 31 to 40 of about 68,793 (266)
The character of free topological groups I
A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions are given for the character in ...
Peter Nickolas, Mikhail Tkachenko
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p-topological Cauchy completions
The duality between “regular” and “topological” as convergence space properties extends in a natural way to the more general properties “p-regular” and “p-topological.” Since earlier papers have investigated regular, p-regular, and topological Cauchy ...
J. Wig, D. C. Kent
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Bi-topological spaces provide a general framework for studying mathematical structures endowed with two distinct topologies, enabling the investigation of concepts that cannot be fully characterized in classical topology.
Fadhil Hussein Abbas, Israa Raad Faisal
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Nigh-Open Sets in Topological Space
In this paper, we aim to introduce a new class of open sets namely nigh-open set. Accordingly, we define a topological space called a nigh-topological space. This consequently leads us to outline several new operations in connection with the sets in nigh-
Jamal Oudetallah +2 more
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Topological Quasilinear Spaces [PDF]
We introduce, in this work, the notion of topological quasilinear spaces as a generalization of the notion of normed quasilinear spaces defined by Aseev (1986). He introduced a kind of the concept of a quasilinear spaces both including a classical linear spaces and also nonlinear spaces of subsets and multivalued mappings. Further, Aseev presented some
Yılmaz, Yılmaz +2 more
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On i-topological spaces: generalization of the concept of a topological space via ideals
The aim of this paper is to generalize the structure of a topological space, preserving its certain topological properties. The main idea is to consider the union and intersection of sets modulo “small” sets which are defined via ideals.
Irina Zvina
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The novel styrylquinazolinone‐based molecule W1B effectively suppresses glioblastoma by inhibiting IGF1R and EGFR. In high‐glucose microenvironments driving tumor resistance, W1B acts synergistically with the EGFR inhibitor dacomitinib. This combination safely blocks compensatory survival signaling in zebrafish xenograft models. Showcasing promising in
Patryk Rurka +9 more
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We give a definition of chaos for a continuous self map of a general topological space. We show that in a uniform Hausdorff space there is a meaningful definition of sensitive dependence on initial conditions. We prove that a continuous self map of a uniform Hausdorff space that is chaotic in the sense defined is necessarily sensitively dependent on ...
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Muhammad Shabir, Munazza Naz
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Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
wiley +1 more source

