Results 11 to 20 of about 296,500 (268)

Unlinking and unknottedness of monotone Lagrangian submanifolds [PDF]

open access: yes, 2012
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
core   +1 more source

α-Topological Vector Spaces

open access: yesScience Journal of University of Zakho, 2017
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]

open access: yes, 2003
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
core   +3 more sources

Vector Measures on Topological Spaces [PDF]

open access: yesgmj, 2007
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]

open access: yesProceedings of the American Mathematical Society, 1977
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]

open access: yes, 1998
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]

open access: yesTransactions of the American Mathematical Society, 1976
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

Role of Shift Vector in High-Harmonic Generation from Noncentrosymmetric Topological Insulators under Strong Laser Fields

open access: yesPhysical Review X, 2022
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]

open access: yes, 1996
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
core   +3 more sources

*—Inductive limits and partition of unity

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
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

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