The generalized homotopy axiom and its consistency with Alexandroff-Čech cohomology theory.
Pracì Mìžnarodnogo Geometričnogo CentruLet T be a connected compact metric space, r,s ∈ T be two points, and X be a locally compact paracompact space. We prove that the mappings φr, φs: X → X × T, defined by φt(x) = (x,t) for t=r, s ∈ T, induce the same homomorphisms of Alexandroff-Čech ...
Umed Karimov
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A Riesz representation theorem for cone-valued functions
Abstract and Applied Analysis, 1999 We consider Borel measures on a locally compact Hausdorff space whose values are linear functionals on a locally convex cone. We define integrals for cone-valued functions and verify that continuous linear functionals on certain spaces of continuous cone-
Walter Roth
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Natural proof of the characterization of relatively compact families in $L^p-$spaces on locally compact groups [PDF]
, 2018 Mateusz Krukowski
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Sculpting the Future of Bone: The Evolution of Absorbable Materials in Orthopedics
Advanced Materials, EarlyView.This review summarizes the current status of polymeric, ceramic, and metallic absorbable materials in orthopedic applications, and highlights several innovative strategies designed to enhance mechanical performance, control degradation, and promote bioactivity. We also discuss the progress and translational potential of absorbable materials in treating
Zhao Wang +13 more
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$\omega$ -cover and related spaces on the vietoris hyperspace $\mathcal F(X)$
Tạp chí Khoa học và Công nghệRecently, Tuyen et al. [1] showed that a space has a $\sigma$-(P)-strong network consisting of cs-covers (resp., $cs^*$-covers) if and only if the hyperspace $\mathcal F(X)$ does, where is one of the following properties: point finite, point countable,
Nguyen Xuan Truc +3 more
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On the Dynamics of Abstract Retarded Evolution Equations
Abstract and Applied Analysis, 2013 This paper is concerned with the dynamics of the following abstract retarded evolution equation: in a Hilbert space , where is a self-adjoint positive-definite operator with compact resolvent and is a locally Lipschitz continuous mapping.
Desheng Li, Jinying Wei, Jintao Wang
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Harmonic functions on locally compact groups of polynomial growth
, 2018 We extend a theorem by Kleiner, stating that on a group with polynomial growth, the space of harmonic functions of polynomial of at most $k$ is finite dimensional, to the settings of locally compact groups equipped with measures with non-compact support.
Perl, Idan
core
Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced Materials, EarlyView.The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades +7 more
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SOBOLEV SPACES ON LOCALLY COMPACT ABELIAN GROUPS AND THE BOSONIC STRING EQUATION [PDF]
, 2014 Przemysław Górka, Enríque G. Reyes
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Giant Berry‐phase‐Driven X‐Ray Beam Translations in Strain‐Engineered Semiconductor Crystals
Advanced Materials, EarlyView.Due to the Berry‐phase effect, X‐rays propagating in deformed crystals undergo large translations, interesting for X‐ray optics applications. Here, the lattice expansion observed upon H irradiation of dilute‐nitride semiconductors is exploited to engineer the deformation landscape of selectively hydrogenated GaAsN epilayers.
Marco Felici +9 more
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