Results 101 to 110 of about 564,721 (317)
On resolvability of topological spaces
Topology and its Applications, 2002 AbstractResolvability of spaces whose extent (spread) is less than the dispersion character is investigated. A space X with a π-network of regular closed subsets such that Δ(X)>pext(X) is ℵ0-resolvable, and a space Y such that Δ(Y)>ps(Y) is maximally resolvable. In particular, assuming the negation of the continuum hypothesis, a (hereditarily) Lindelöf
openaire +2 more sources
Making Photoresponsive Metal–Organic Frameworks an Effective Class of Heterogeneous Photocatalyst
Advanced Functional Materials, EarlyView.This review summarizes photoresponsive MOFs for photocatalytic applications, focusing on their capacity to enhance light harvesting, charge transfer, and surface reactions. While existing studies provide foundational insights, emerging characterization techniques enable a deeper understanding of photoresponsive MOFs.
Rui Liu +3 more
wiley +1 more source
, 2010 It seems to be a common belief that the space in which we live is a space-time manifold of dimension at least four. In the present article we wish to draw attention to a slightly different possibility - a space-time pseudomanifold (or even a generalized pseudomanifold of one dimension or another).
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Space, matter and topology [PDF]
Nature Physics, 2016 An old branch of mathematics, Topology, has opened the road to the discovery of new phases of matter. A hidden topology in the energy spectrum is the key for novel conducting/insulating properties of topological matter.
openaire +3 more sources
Near‐Field Phonon Nanoscopy and Imaging of Structural Variants in Mixed Phase BiFeO3
Advanced Functional Materials, EarlyView.Nano‐Fourier transform infrared spectroscopy and scattering scanning near‐field optical microscopy imaging reveal the phonon response of nanoscale phase variants in mixed‐phase BiFeO3 (BFO). Direct mid‐infrared imaging of associated distinct vibrational signatures is used as a non‐invasive optical detection method for electrical switching of ...
Dawei Zhang +8 more
wiley +1 more source
Accuracy based on simply* alpha open set in rough set and topological space. [PDF]
Soft comput, 2021 El Safty MA, El Sayed M, Alblowi SA.
europepmc +1 more source
$\mathfrak G$-bases in free (locally convex) topological vector spaces [PDF]
arXiv, 2016 We characterize topological (and uniform) spaces whose free (locally convex) topological vector spaces have a local $\mathfrak G$-base. A topological space $X$ has a local $\mathfrak G$-base if every point $x$ of $X$ has a neighborhood base $(U_\alpha)_{\alpha\in\omega^\omega}$ such that $U_\beta\subset U_\alpha$ for all $\alpha\le\beta$ in $\omega ...
arxiv
Self‐organized Criticality in Neuromorphic Nanowire Networks With Tunable and Local Dynamics
Advanced Functional Materials, EarlyView.Memristive nanowire networks (NWNs) are shown to be electrically tunable to a critical state where specific local dynamics evaluated by multiterminal characterization are exploited as feature selection in nonlinear transformation (NLT) tasks.
Fabio Michieletti +3 more
wiley +1 more source
Introducing the EPP house (topological space) method to solve MRP problems. [PDF]
PLoS One, 2021 Gyenge B, Kasza L, Vasa L.
europepmc +1 more source
On Subgroup Topologies on Fundamental Groups [PDF]
arXiv, 2018 It is important to classify covering subgroups of the fundamental group of a topological space using their topological properties in the topologized fundamental group. In this paper, we introduce and study some topologies on the fundamental group and use them to classify coverings, semicoverings, and generalized coverings of a topological space.
arxiv