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Chromatic hyper Zagreb topological descriptors and QSPR analysis of certain skin cancer drugs. [PDF]
Front ChemPavithra R, Ravi Sankar J.
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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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Topological residuated lattices
Soft Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saeed Rasouli, Amin Dehghani
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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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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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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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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
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2021
“Global topology,” which we will discuss in this first section, is the total topological charge of the whole lattice: in the subsequent sections, we will review more local observables aimed at revealing the topological substructure of the gauge theory vacuums.
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“Global topology,” which we will discuss in this first section, is the total topological charge of the whole lattice: in the subsequent sections, we will review more local observables aimed at revealing the topological substructure of the gauge theory vacuums.
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