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Singular dimensions of the N=2 superconformal algebras. I [PDF]
Verma modules of superconfomal algebras can have singular vector spaces with dimensions greater than 1. Following a method developed for the Virasoro algebra by Kent, we introduce the concept of adapted orderings on superconformal algebras.
Doerrzapf, Matthias +1 more
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As a promising avenue to obtain a new extreme ultraviolet light source and detect electronic properties, high-harmonic generation (HHG) has been actively developed in both theory and experiment.
Chen Qian +8 more
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*—Inductive limits and partition of unity
In this note we define and discuss some properties of partition of unity on *-inductive limits of topological vector spaces. We prove that if a partition of unity exists on a *-inductive limit space of a collection of topological vector spaces, then it ...
V. Murali
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Topological Analysis on the Belief Rule Base Space
The belief rule base (BRB) uses the “IF-THEN” rule to handle different types of information under uncertainty, and then transforms them into a unified result in the same belief structure as the input.
Caiyun Niu +3 more
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Unlinking and unknottedness of monotone Lagrangian submanifolds [PDF]
Under certain topological assumptions, we show that two monotone Lagrangian submanifolds embedded in the standard symplectic vector space with the same monotonicity constant cannot link one another and that, individually, their smooth knot type is ...
Georgios Dimitroglou +2 more
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Free Subspaces of Free Locally Convex Spaces
If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult.
Saak S. Gabriyelyan, Sidney A. Morris
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Quantifying some distance topological properties of the non-zero component graph
Several bioactivities of chemical compounds in a molecular graph can be expected by using many topological descriptors. A topological descriptor is a numeric quantity which quantify the topology of a graph.
Fawaz E. Alsaadi +6 more
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Peano curves on topological vector spaces [PDF]
The starting point of this paper is the existence of Peano curves, that is, continuous surjections mapping the unit interval onto the unit square. From this fact one can easily construct of a continuous surjection from the real line $\mathbb{R}$ to any Euclidean space $\mathbb{R}^n$.
Albuquerque, N. +3 more
openaire +5 more sources
Clean isotropic quantum Hall fluids in the continuum possess a host of symmetry-protected quantized invariants, such as the Hall conductivity, shift, and Hall viscosity.
Naren Manjunath, Maissam Barkeshli
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The partition bundle of type A_{N-1} (2, 0) theory [PDF]
Six-dimensional (2, 0) theory can be defined on a large class of six-manifolds endowed with some additional topological and geometric data (i.e. an orientation, a spin structure, a conformal structure, and an R-symmetry bundle with connection).
Andouze-Bernard, Séverine +2 more
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