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Assessing the discrepancies and uncertainties of regional shared and pixel-specific trapezoidal feature spaces using a Priestley-Taylor-based evapotranspiration model

open access: yesGIScience & Remote Sensing
The vegetation index–land surface temperature (VI–LST) feature space method is widely used for regional evapotranspiration (ET) estimation, linking vegetation cover with the temperature–ET response while balancing model complexity and efficiency. The key
Lu Yang, Huade Guan, Songhao Shang
doaj   +4 more sources

Descent for Priestley Spaces [PDF]

open access: yesApplied Categorical Structures, 2006
A preordered (ordered) topological space is a triple \((X,\tau ,\leq )\) where \(X\) is a set, \(\tau \) is a topology on \(X\) and \(\leq \) is a preorder (order) on \(X.\) An ordered space \((X,\tau ,\leq )\) is said to be totally order-disconnected if given \(x\nleqslant y\) in \(X\) there exists a clopen decreasing subset \(U\) of \(X\) (i.e.
Manuela Sobral, Sobral Manuela
exaly   +4 more sources

Duality theory for enriched Priestley spaces

open access: yesJournal of Pure and Applied Algebra, 2023
The term Stone-type duality often refers to a dual equivalence between a category of lattices or other partially ordered structures on one side and a category of topological structures on the other. This paper is part of a larger endeavour that aims to extend a web of Stone-type dualities from ordered to metric structures and, more generally, to ...
Dirk Hofmann
exaly   +4 more sources

Vietoris hyperspaces over scattered Priestley spaces

open access: yesIsrael Journal of Mathematics, 2022
We study Vietoris hyperspaces of closed and closed final sets of Priestley spaces. We are particularly interested in Skula topologies. A topological space is \emph{Skula} if its topology is generated by differences of open sets of another topology. A compact Skula space is scattered and moreover has a natural well-founded ordering compatible with the ...
Taras Banakh   +2 more
exaly   +5 more sources

Priestley Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1990
We give a purely order-theoretic characterization of complete lattices that are compact totally order-disconnected (Priestley) spaces with respect to the Lawson topology. We also characterize complete lattices that are Priestley spaces with respect to the interval topology.
exaly   +3 more sources

Expanding Belnap 2: the dual category in depth [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2022
Bilattices, which provide an algebraic tool for simultaneously modelling knowledge and truth, were introduced by N.D. Belnap in a 1977 paper entitled How a computer should think.
Andrew Craig   +2 more
doaj   +1 more source

Remarks on Hyperspaces for Priestley Spaces

open access: yesSSRN Electronic Journal, 2022
The Vietoris space of a Stone space plays an important role in the coalgebraic approach to modal logic. When generalizing this to positive modal logic, there is a variety of relevant hyperspace constructions based on various topologies on a Priestley space and mechanisms to topologize the hyperspace of closed sets.
Guram Bezhanishvili   +2 more
openaire   +3 more sources

Relational representations of algebraic lattices and their applications

open access: yesOpen Mathematics, 2022
In this paper, we define the concepts of strongly regular relation, finitely strongly regular relation, and generalized finitely strongly regular relation, and get the relational representations of strongly algebraic, hyperalgebraic, and quasi ...
Luo Shuzhen, Xu Xiaoquan
doaj   +1 more source

Variable-basis Categorically-algebraic Dualities

open access: yesFuzzy Information and Engineering, 2014
The manuscript continues our study on developing a categorically-algebraic (catalg) analogue of the theory of natural dualities of D. Clark and B. Davey, which provides a machinery for obtaining topological representations of algebraic structures.
Sergey A. Solovyov
doaj   +1 more source

On Uncertainties of the Priestley-Taylor/LST-Fc Feature Space Method to Estimate Evapotranspiration: Case Study in an Arid/Semiarid Region in Northwest China [PDF]

open access: yesRemote Sensing, 2014
Accurate evapotranspiration (ET) estimation is very crucial for water resource management, particularly for the arid and semi-arid region. The remote sensing-based Priestley-Taylor method (RS-PT method) can estimate ET at regional scale, using the feature space of remotely sensed land surface temperature (LST) and vegetation index (VI).
Zhansheng Li, Li Jia 0001, Jing Lu
openaire   +2 more sources

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