Results 31 to 40 of about 148,137 (283)
Applied General Topology, 2021 Let C∞ (X) denote the family of real-valued continuous functions which vanish at infinity in the sense that {x ∈ X : |f(x)| ≥ 1/n} is compact in X for all n ∈ N. It is not in general true that C∞ (X) is an ideal of C(X).
Biswajit Mitra, Debojyoti Chowdhury
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Some Operators in Ideal Topological Spaces
Missouri Journal of Mathematical Sciences, 2018 The concept of \(\omega \)-closed sets is due to \textit{H. Z. Hdeib} [Rev. Colomb. Mat. 16, 65--78 (1982; Zbl 0574.54008)]. A subset \(A\) of a topological space \(X\) is \(\omega \)-closed if it contains all of its condensation points [loc. cit.].
Al-Saadi, H., Al-Omari, A.
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Planar maps, circle patterns and 2d gravity [PDF]
, 2013 Via circle pattern techniques, random planar triangulations (with angle variables) are mapped onto Delaunay triangulations in the complex plane. The uniform measure on triangulations is mapped onto a conformally invariant spatial point process.
David, Francois, Eynard, Bertrand
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Noether normalizations, reductions of ideals, and matroids [PDF]
, 2010 We show that given a finitely generated standard-graded algebra of dimension $d$ over an infinite field, its graded Noether normalizations obey a certain kind of `generic exchange', allowing one to pass between any two of them in at most $d$ steps.
Brennan, Joseph P., Epstein, Neil
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Journal of Function Spaces, 2021 In this article, we define a new sequence space generated by the domain of r-Cesàro matrix in Nakano sequence space. Some geometric and topological properties of this sequence space, the multiplication maps defined on it, and the eigenvalue distributions
Awad A. Bakery, OM Kalthum S. K. Mohamed
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Connectedness modulo an ideal [PDF]
, 2016 For a topological space $X$ and an ideal $\mathscr{H}$ of subsets of $X$ we introduce the notion of connectedness modulo $\mathscr{H}$. This notion of connectedness naturally generalizes the notion of connectedness in its usual sense. In the case when $X$
Koushesh, M. R.
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g_*^*-I-Closed Sets and Their Properties in in Ideal Topological Space [PDF]
المجلة العراقية للعلوم الاحصائيةThere are many research papers that deal with different types of generalized closed sets. Levine [4] introduced generalized closed (briefly, -closed) sets and studied their basic properties and Veera Kumar [5] introduced -closed sets in topological ...
Rughzai Mahamood, Darwesh Mohammed
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Some new classes of topological spaces and annihilator ideals
, 2014 By a characterization of semiprime $SA$-rings by Birkenmeier, Ghirati and Taherifar in \cite[Theorem 4.4]{B}, and by the topological characterization of $C(X)$ as a Baer-ring by Stone and Nakano in \cite[Theorem 3.25]{KM}, it is easy to see that $C(X ...
Taherifar, A.
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Residuated Lattices with Noetherian Spectrum
Mathematics, 2022 In this paper, we characterize residuated lattices for which the topological space of prime ideals is a Noetherian space. The notion of i-Noetherian residuated lattice is introduced and related properties are investigated.
Dana Piciu, Diana Savin
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Soft Topology in Ideal Topological Spaces
Hacettepe Journal of Mathematics and Statistics, 2018 Summary: In this paper, \((X,\tau,E)\) denotes a soft topological space and \(\overline{\mathcal{I}}\) a soft ideal over \(X\) with the same set of parameters \(E\). We define an operator \((F,E)^\theta(\overline{\mathcal{I}},\tau)\) called the \(\theta\)-local function of \((F,E)\) with respect to \(\overline{\mathcal{I}}\) and \(\tau\).
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