Topological groups, which integrate algebraic group structures with continuous topologies, and metric spaces, defined by a distance function, form a fundamental basis for modern mathematical analysis.
PagePeek unveils an AI-led framework to evaluate topological psychology, auditing mathematical rigor and psychological validity across ...
In this paper we study the relations between the properties of the topological semigroup of all continuous selfmaps S(X) on a compact metric space X (the topological group H(X) of all homeomorphisms ...
A new study addresses a foundational problem in the theory of driven quantum matter by extending the Středa formula to non-equilibrium regimes. It demonstrates that a superficially trivial "sum of ...
It looks like a black hole and bends light like a black hole, but it could actually be a new type of star. Though the mysterious object is a hypothetical mathematical construction, new simulations by ...
(Nanowerk Spotlight) Topology is the branch of mathematics that explores the nature of shapes independent of deformation. Physicists developed the concept of the phases of matter with properties that ...
In a leap forward for quantum computing, a Microsoft team led by UC Santa Barbara physicists on Wednesday unveiled an eight-qubit topological quantum processor, the first of its kind. The chip, built ...
In a leap forward for quantum computing, a Microsoft team led by UC Santa Barbara physicists on Wednesday unveiled an eight-qubit topological quantum processor, the first of its kind. The chip, built ...
Scientists have been looking for half an electron as a basis for a quantum computer. They investigated a promising experimental setup just to find that the signals they measured were not telling the ...
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