Results 41 to 50 of about 6,505 (255)
A Note on Topological Properties of Non-Hausdorff Manifolds
The notion of compatible apparition points is introduced for non-Hausdorff manifolds, and properties of these points are studied. It is well known that the Hausdorff property is independent of the other conditions given in the standard definition of a ...
Steven L. Kent +2 more
doaj +1 more source
Noncommutative space–time and Hausdorff dimension [PDF]
We study the Hausdorff dimension of the path of a quantum particle in noncommutative space–time. We show that the Hausdorff dimension depends on the deformation parameter [Formula: see text] and the resolution [Formula: see text] for both nonrelativistic and relativistic quantum particle.
Anjana, V., Harikumar, E., Kapoor, A. K.
openaire +3 more sources
On Functionally Hausdorff Spaces
Some properties related to functionally Hausdorff spaces are studied. For instance those topological spaces are characterized for which the functionally Hausdorff-reflection is a spectral space.
openaire +3 more sources
Characterizations of Minimal Hausdorff Spaces [PDF]
Two new characterizations of minimal Hausdorff spaces are given along with some relating properties and examples.
openaire +2 more sources
Almost periodic functions on Hausdorff almost periodic time scales
This paper is devoted to generalizing the notion of almost periodic functions on time scales. We introduce a new class of almost periodic time scales called Hausdorff almost periodic time scales by using the Hausdorff distance and propose a more general ...
Desheng Ji, Liu Yang, Jimin Zhang
doaj +1 more source
Inverse topology in MV-algebras [PDF]
We introduce the inverse topology on the set of all minimal prime ideals of an MV-algebra $A$ and show that the set of all minimal prime ideals of $A$, namely ${\rm Min}(A)$, with the inverse topology is a compact space, Hausdorff, $T_0$-space and $T_1 ...
Fereshteh Forouzesh +2 more
doaj +1 more source
Scrambling‐Enhanced Quantum Battery Charging in Black Hole Analogues
By employing a black‐hole‐analog quantum battery constructed from a position‐dependent XY model, its dynamical behavior is investigated through a quench of the scrambling parameter. It is systematically quantified that how the simulated scrambling improves key performance metrics‐namely, stored energy, peak power, and charging time‐thereby offering a ...
Zhilong Liu +3 more
wiley +1 more source
BMPCQA: Bioinspired Metaverse Point Cloud Quality Assessment Based on Large Multimodal Models
This study presents a bioinspired metaverse point cloud quality assessment metric, which simulates the human visual evaluation process to perform the point cloud quality assessment task. It first extracts rendering projection video features, normal image features, and point cloud patch features, which are then fed into a large multimodal model to ...
Huiyu Duan +7 more
wiley +1 more source
Compact self T1-complementary spaces without isolated points
We present an example of a compact Hausdorff self T1-complementary space without isolated points. This answers Question 3.11 from [A compact Hausdorff topology that is a T1-complementof itself, Fund. Math. 175 (2002), 163–173] affirmatively.
Mikhail Tkachenko
doaj +1 more source
Upper bounds of some matrix operators on binomial and Orlicz-binomial double sequence spaces
In this article, we introduce binomial double sequence space bk(α,β;γ,δ) (1≤k≤∞) and Orlicz-binomial double sequence space bφ(α,β;γ,δ), and obtain certain inclusion results related to these spaces.
Taja Yaying, Bipan Hazarika
doaj +1 more source

