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Space-time spectral methods for PDEs on irregular domains
Chandramali Piyasundara Wilegoda Liyanage
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SUBMAXIMAL AND SPECTRAL SPACES
Mathematical Proceedings of the Royal Irish Academy, 2008A space \(X\) is submaximal if every dense subspace of \(X\) is open in \(X\). If \(X\) is a \(T_0\)-space and \(x,y\in X\) then \(x\leq y\) if and only if \(y\in \overline{\{x\}}\); this order is called a specialization order on \(X\).
Adams, Mike E. +3 more
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UNIVERSAL SPACES, TYCHONOFF AND SPECTRAL SPACES
Mathematical Proceedings of the Royal Irish Academy, 2009The authors define a topological space \(X\) to be a \(T_{(0,\rho)}\)-space if the universal \(T_0\)-space associated to \(X\) is completely regular, and give a characterisation of these spaces. They characterize the class of morphisms of TOP which are orthogonal to all Tychonoff spaces. They also characterize the topological spaces \(X\) such that the
Echi, Othman, Lazaar, Sami
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The prime spaces as spectral spaces
Annali di Matematica Pura ed Applicata, 1991The Zariski-Riemann surface (the underlying set of which is the collection of all valuation domains of some field containing the given integral domain) plays an important role in Zariski's resolution of singularities. Many researchers try to extend the concept of valuation and also that of Zariski Riemann-surface.
FONTANA, Marco, PAPPALARDI F.
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Spectral spaces and color spaces
Color Research & Application, 2003AbstractIt has long been known that color experiences under controlled conditions may be ordered into a color space based on three primary attributes. It is also known that the color of an object depends on its spectral reflectance function, among other factors.
Rajeev Ramanath +3 more
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2019
Spectral spaces are a class of topological spaces. They are a tool linkingalgebraic structures, in a very wide sense, with geometry. They wereinvented to give a functional representation of Boolean algebras anddistributive lattices and subsequently gained great prominence as aconsequence of Grothendieck's invention of schemes.
Dickmann, Max +2 more
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Spectral spaces are a class of topological spaces. They are a tool linkingalgebraic structures, in a very wide sense, with geometry. They wereinvented to give a functional representation of Boolean algebras anddistributive lattices and subsequently gained great prominence as aconsequence of Grothendieck's invention of schemes.
Dickmann, Max +2 more
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Journal of Algebra and Its Applications, 2019
Let [Formula: see text] be a mapping. Consider [Formula: see text] Then, according to Echi, [Formula: see text] is an Alexandroff topology. A topological space [Formula: see text] is called a primal space if its topology coincides with an [Formula: see text] for some mapping [Formula: see text].
Echi, Othman, Turki, Tarek
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Let [Formula: see text] be a mapping. Consider [Formula: see text] Then, according to Echi, [Formula: see text] is an Alexandroff topology. A topological space [Formula: see text] is called a primal space if its topology coincides with an [Formula: see text] for some mapping [Formula: see text].
Echi, Othman, Turki, Tarek
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Spectral Reflections of Topological Spaces
Applied Categorical Structures, 2017This paper deals with the relationship between the category \(\mathsf{Top}\) of topological spaces and continuous maps and its reflective subcategory \(\mathsf{Spec}\) of spectral spaces and spectral maps. Specifically, it addresses the following question(s): Let \(\mathbf{L} : \mathsf{Top} \to \mathsf{Spec}\) be the (spectral) reflector and \(\mathbf ...
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