Results 11 to 20 of about 296,500 (268)
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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The main objective of this paper is to present the study of α-topological vector spaces. α-topological vector spaces are defined by using α-open sets and α-irresolute mappings.
Hariwan Z. Ibrahim
doaj +1 more source
A Note on the Topology of Space-time in Special Relativity [PDF]
We show that a topology can be defined in the four dimensional space-time of special relativity so as to obtain a topological semigroup for time. The Minkowski 4-vector character of space-time elements as well as the key properties of special relativity ...
Bohm A +5 more
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Vector Measures on Topological Spaces [PDF]
Abstract Let 𝑋 be a completely regular Hausdorff space, 𝐸 a quasi-complete locally convex space, 𝐶(𝑋) (resp. 𝐶𝑏(𝑋)) the space of all (resp. all, bounded), scalar-valued continuous functions on 𝑋, and 𝐵(𝑋) and 𝐵0(𝑋) be the classes of Borel and Baire subsets of 𝑋.
openaire +2 more sources
Embedding in Topological Vector Spaces [PDF]
Let LX denote the set of all continuous linear functionals on the locally convex topological vector space X. The space L co X {L_{{\text {co}}}}X denotes LX endowed with the compact-open topology.
openaire +2 more sources
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
core +3 more sources
An order topology in ordered topological vector spaces [PDF]
An order topology Ω \Omega that can be defined on any partially-ordered space has as its closed sets those that contain the (o)-limits of all their (o)-convergent nets. In this paper we study the situation in which a topological vector space with a Schauder basis is ordered by the basis cone. In a Fréchet space (
openaire +2 more sources
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
doaj +1 more source
A theorem on topologically massive gravity [PDF]
We show that for three dimensional space-times admitting a hypersurface orthogonal Killing vector field Deser, Jackiw and Templeton's vacuum field equations of topologically massive gravity allow only the trivial flat space-time solution.
A N Aliev +9 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
doaj +1 more source

