Results 261 to 270 of about 8,626 (300)
Probing bulk topological invariants using leaky photonic lattices
Nature Physics, 2021 Topological invariants characterizing filled Bloch bands underpin electronic topological insulators and analogous artificial lattices for Bose-Einstein condensates, photonics and acoustic waves.
Daniel Leykam +2 more
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Topological nodal chains in optical lattices
Physical Review A, 2021 Topological nodal rings as the simplest topological nodal lines recently have been extensively studied in optical lattices. However, the realization of complex nodal line structures like nodal chains in this system remains a crucial challenge.
Bei-Bei Wang, Jia-Hui Zhang, Feng Mei
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Maxwell Lattices and Topological Mechanics
Annual Review of Condensed Matter Physics, 2018 This is a review on the emergent field of topological mechanics, where concepts from electronic topological states of matter are applied to mechanics. We focus on the subcategory of topological mechanics of Maxwell lattices, which are mechanical frames ...
Xiaoming Mao, T C Lubensky
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Topological residuated lattices
Soft Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saeed Rasouli, Amin Dehghani
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On the lattices of L-topologies
Fuzzy Sets and Systems, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ginu Varghese, Sunil C. Mathew
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Topologies of Lattice Products
Canadian Journal of Mathematics, 1966A number of different ways of defining topologies in a lattice or partially ordered set in terms of the order relation are known. Three of these methods have proved to be useful and convenient for lattices of special types, namely theidealtopology, theintervaltopology, and thenew intervaltopology of Garrett Birkhoff.
Aló, Richard A., Frink, Orrin
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Canadian Journal of Mathematics, 1958
In many cases Lattice Theory has proven itself to be useful in the study of the totality of mathematical systems of a given type. In this paper we shall continue one of such studies by investigating further the lattice of all topologies on a given set S. A considerable amount of research has been done in this field (1; 2; 3; 5; 6).
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In many cases Lattice Theory has proven itself to be useful in the study of the totality of mathematical systems of a given type. In this paper we shall continue one of such studies by investigating further the lattice of all topologies on a given set S. A considerable amount of research has been done in this field (1; 2; 3; 5; 6).
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The Lattice of Functional Alexandroff Topologies
Order, 2020Let \(X\) be a set and \(f:X \longrightarrow X\) be a function; then \(\mathcal{P}(f):=\{O \subseteq X: f^{-1}(O)\subseteq O\}\) is an Alexandroff topology on \(X\). A space \((X, \mathcal{T})\) is said to be primal [\textit{O. Echi}, Topology Appl. 159, No. 9, 2357--2366 (2012; Zbl 1245.54033)], or functional Alexandroff [\textit{F. A. Z. Shirazi} and
Jacob Menix, Tom Richmond
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Finite Intervals in the Lattice of Topologies
Order, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
William Rea Brian +3 more
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International Journal of Modern Physics A, 1989
The concept of interpolation relates lattice configurations to continuum configurations. This relation induces from the continuum to the lattice the definitions of “continuous deformation”, topological classification and homotopy classes. The lattice homotopy classes obtained this way are separated by boundaries made out of “exceptional configurations”
RADEL BEN-AV, SORIN SOLOMON
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The concept of interpolation relates lattice configurations to continuum configurations. This relation induces from the continuum to the lattice the definitions of “continuous deformation”, topological classification and homotopy classes. The lattice homotopy classes obtained this way are separated by boundaries made out of “exceptional configurations”
RADEL BEN-AV, SORIN SOLOMON
openaire +1 more source