Results 91 to 100 of about 5,722,301 (356)

Homogeneous ANR-spaces and Alexandroff manifolds

open access: yes, 2014
We specify a result of Yokoi \cite{yo} by proving that if $G$ is an abelian group and $X$ is a homogeneous metric $ANR$ compactum with $\dim_GX=n$ and $\check{H}^n(X;G)\neq 0$, then $X$ is an $(n,G)$-bubble.
Valov, V.
core   +1 more source

Impact of APOE ε4 Genotype Load on Cognitive Function and Lipid Metabolism in Patients With Cerebral Small Vessel Disease

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Apolipoprotein ε4 (APOE ε4) is a potent genetic risk factor for Alzheimer's disease (AD). However, its role in cerebral small vessel disease (CSVD) remains unclear. Given the clinical and pathological similarities between CSVD and AD, this study aimed to investigate the associations of APOE ε4 gene dosage with cognitive function and
Tingru Jin   +6 more
wiley   +1 more source

Permanence of metric fractals

open access: yesElectronic Journal of Differential Equations, 2007
The paper studies energy functionals on quasimetric spaces, defined by quadratic measure-valued Lagrangeans. This general model of medium, known as metric fractals, includes nested fractals and sub-Riemannian manifolds.
Kyril Tintarev
doaj  

From homogeneous metric spaces to Lie groups

open access: yesComptes Rendus. Mathématique
We study homogeneous metric spaces, by which we mean connected, locally compact metric spaces whose isometry group acts transitively.After a review of a number of classical results, we use the Gleason–Iwasawa–Montgomery–Yamabe–Zippin structure theory to ...
Cowling, Michael G.   +4 more
doaj   +1 more source

Intertwining Operators And Quantum Homogeneous Spaces

open access: yes, 1995
In the present paper the algebras of functions on quantum homogeneous spaces are studied. The author introduces the algebras of kernels of intertwining integral operators and constructs quantum analogues of the Poisson and Radon transforms for some ...
L. L. Vaksman   +5 more
core   +1 more source

The Relationship Between Inflammation and Central Nervous System in Multiple Sclerosis

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Aim Multiple sclerosis is an autoimmune demyelination disease that is seen especially in the young population and has a progressive course, causing motor, sensory, and cognitive deficits. In the literature, the pathogenesis of MS disease and the interconnection between the immune and central nervous system in the disease have not been fully ...
Gamze Ansen   +5 more
wiley   +1 more source

Reduced Muscular Carnosine in Proximal Myotonic Myopathy—A Pilot 1H‐MRS Study

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Myotonic dystrophy type 2 (proximal myotonic myopathy, PROMM) is a progressive multisystem disorder with muscular symptoms (proximal weakness, pain, myotonia) and systemic manifestations such as diabetes mellitus, cataracts, and cardiac arrhythmias.
Alexander Gussew   +11 more
wiley   +1 more source

Quantum Homogeneous Spaces and Coalgebra Bundles

open access: yes, 1997
It is shown that quantum homogeneous spaces of a quantum group H can be viewed as fibres of quantum fibrations with the total space H that are dual to coalgebra bundles. As concrete examples of such structures the fibrations with the quantum 2-sphere and
Brzezinski, Tomasz
core   +1 more source

Special Ball-Homogeneous Spaces

open access: yesZeitschrift für Analysis und ihre Anwendungen, 1997
We continue the study of ball-homogeneous Riemannian manifolds, that is, R.ie-mannian spaces such that the volume of all sufficiently small geodesic balls or spheres only depends on the radius. First, we consider the case of locally reducible spaces. Then we treat the three-dimensional case, in particular for Einstein-like metrics and finally, we study
CALVARUSO, Giovanni, L. VANHECKE
openaire   +4 more sources

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