Results 81 to 90 of about 4,912,920 (327)

FIVE SEPARATION AXIOMS IN QUAD SOFT NON-LINEAR STRUCTURE [PDF]

Acta Scientifica Malaysia, 2018
In 1999, Russian mathematician Molodtsov planted the novel notion of a soft set which can be supposed as a new mathematical approach for imprecision. Topological structures of soft set have been studied by some mathematicians in current years.
Fahad Jamal, Arif Mehmood Khattak, Gulzar Ali Khan, Saleem Abdullah   +3 more
doaj   +1 more source

Products of topological spaces

General Topology and its Applications, 1978
AbstractThe main purpose of this paper is to unify a number of theorems in topology whose conclusions state that a product of topological spaces has a compactness-like property.Three such theorems are (1) the Tychonoff theorem: Every product of compact spaces is compact, (2) the theorem of C.T. Scarborough and A.H.
openaire   +2 more sources

Single Pair of Weyl Points Evolve From Spin Group‐Protected Nodal Line in Half‐Metallic Ferromagnet V3S4

Advanced Functional Materials, EarlyView.
A spin group (SG)‐based mechanism is proposed to realize a single pair of Weyl points. PT‐symmetric nodal lines (NLs) persist under T‐breaking, protected by the combination of SG and P symmetry. When considering spin‐orbit coupling, the SG‐protected NL will split into Weyl points, which will also induce anomalous transport phenomena arising from ...
Shifeng Qian, Yao Zhang, Xiaowei Sheng, Xiuxian Yang, Gang Zhang, Junfeng Gao, Xiaotian Wang   +6 more
wiley   +1 more source

Synchrotron Radiation for Quantum Technology

Advanced Functional Materials, EarlyView.
Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader, Sakura Pascarelli, Klaus Attenkofer, Anna A. Makarova, Karsten Holldack, Kai Rossnagel, Kristiaan Temst, George Kourousias, Stefano Carretta, Caterina Biscari, Helmut Dosch   +10 more
wiley   +1 more source

Countable Fuzzy Topological Space and Countable Fuzzy Topological Vector Space

Journal of Mathematical and Fundamental Sciences, 2015
This paper deals with countable fuzzy topological spaces, a generalization of the notion of fuzzy topological spaces. A collection of fuzzy sets F on a universe X forms a countable fuzzy topology if in the definition of a fuzzy topology, the condition of
Apu Kumar Saha, Debasish Bhattacharya
doaj   +1 more source

Fractional Skyrmion Tubes in Chiral‐Interfaced 3D Magnetic Nanowires

Advanced Functional Materials, EarlyView.
In chiral 3D helical magnetic nanowires, the coupling between the geometric and magnetic chirality provides a way to create topological spin states like vortex tubes. Here, it is demonstrated how the breaking of this coupling in interfaced 3D nanowires of opposite chirality leads to even more complex topological spin states, such as fractional ...
John Fullerton, Naëmi Leo, Jakub Jurczyk, Claire Donnelly, Dédalo Sanz‐Hernández, Luka Skoric, Nicholas Mille, Stefan Stanescu, Donald A MacLaren, Rachid Belkhou, Aurelio Hierro‐Rodriguez, Amalio Fernández‐Pacheco   +11 more
wiley   +1 more source

Topological Structure of Vague Soft Sets

Abstract and Applied Analysis, 2014
We introduce vague soft topological spaces which are defined over an initial universe with a fixed set of parameters. The notions of vague soft open sets, vague soft closed sets, vague soft interior, vague soft closure, and vague soft boundary are ...
Chang Wang, Yaya Li
doaj   +1 more source

Understanding the Chemical and Electronic Properties of Sub‐Monolayer TiO2 on High Surface Area Silica for Jet Fuel Synthesis Applications

Advanced Functional Materials, EarlyView.
Sub‐monolayer titania grafted onto mesoporous silica enables solvent‐free photocatalytic upgrading of furfural and cyclopentanone into jet fuel precursors. Advanced spectroscopic methods reveal tunable surface speciation, acidity, and bandgaps, enhancing catalytic efficiency.
Mark A. Isaacs, Charalampos Drivas, Arthur Graf, Sasha Kroon, Santosh Kumar, Junxi Liu, Antonio Torres‐Lopez, Cameron Price, Edward Garland, Ines Lezcano‐Gonzalez, Christopher. M. A. Parlett, Vannia C. dos Santos‐Durndell, Lee J. Durndell   +12 more
wiley   +1 more source

Tilings in topological spaces [PDF]

International Journal of Mathematics and Mathematical Sciences, 1999
A tiling of a topological space X is a covering of X by sets (called tiles) which are the closures of their pairwise‐disjoint interiors. Tilings of ℝ2 have received considerable attention (see [2] for a wealth of interesting examples and results as well as an extensive bibliography). On the other hand, the study of tilings of general topological spaces
openaire   +3 more sources

Differential Compartmentalization of Enzymatic Reactions for Lactate Signaling Across Protocells

Advanced Functional Materials, EarlyView.
Two populations of protocells consisting of giant unilamellar vesicles containing active species and distinct artificial organelles are competent of collective behavior by mimicking production, intercellular communication, and detection of the bioinspired signal molecule lactate. Enzymatic cascade reactions within artificial organelles demonstrate that
Arianna Balestri, Xinan Huang, Emanuel Lörtscher, Cora‐Ann Schoenenberger, Cornelia G. Palivan   +4 more
wiley   +1 more source