Results 11 to 20 of about 106,889 (298)
The ideal generated by σ-nowhere dense sets
Applied General Topology, 2006 In this paper, we consider the ideal Iσ generated by all σ-nowhere dense sets in a topological space. Properties of this ideal and its relations with the Volterra property are explored.
Jiling Cao, Sina Greenwood
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Compatible elements in partly ordered groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 Some conditions equivalent to a strong quasi-divisor property (SQDP) for a partly ordered group G are derived. It is proved that if G is defined by a family of t-valuations of finite character, then G admits an SQDP if and only if it admits a quasi ...
Jirí Mockor, Angeliki Kontolatou
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A new local function and a new compatibility type in ideal topological spaces
AIMS Mathematics, 2023 <abstract><p>In this study, a $ \zeta^*_\Gamma $-local function is defined and its properties are examined. This newly defined local function is compared with the well-known local function and the local closure function according to the relation of being a subset.
Ferit Yalaz, Aynur Keskin Kaymakcı
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On multi-ideals and polynomial ideals of Banach spaces: a new approach to coherence and compatibility [PDF]
Monatshefte für Mathematik, 2013 26 pages, extended ...
Pellegrino, Daniel, Ribeiro, Joilson
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Introduction to generalized topological spaces
Applied General Topology, 2011 We introduce the notion of generalized topological space (gt-space). Generalized topology of gt-space has the structure of frame and is closed under arbitrary unions and finite intersections modulo small subsets. The family of small subsets of a gt-space
Irina Zvina
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Graded Annihilators and Uniformly F-Compatible Ideals [PDF]
Acta Mathematica Vietnamica, 2015 17 pages.
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Compatibility of Center Ideals with Center Topology
IOP Conference Series: Materials Science and Engineering, 2020 Abstract In this section, we will explain some concepts such as ( C -local function, C
Dheargham Ali Abdulsada +1 more
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Ideal Magnetic Dipole Scattering [PDF]
, 2017 We introduce the concept of tunable ideal magnetic dipole scattering, where a nonmagnetic nanoparticle scatters light as a pure magnetic dipole. High refractive index subwavelength nanoparticles usually support both electric and magnetic dipole responses.
Wei Zhang +7 more
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R-Compatible Ideals of topological spaces
Wasit Journal for Pure sciences, 2023 Abstract. This paper's goal is to present the idea of regular-compatibility of ideals by replaced the open set is Regular-open set and with respect to topology, which is abbreviated as (τ ∼ R I ), Using a brand-new local function termed the regular-local function A(*R) (I, T), it is also possible to examine the connection between this idea and the ...
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International Journal of Mathematics and Mathematical Sciences, 1990 An ideal on a set X is a nonempty collection of subsets of X closed under the operations of subset (heredity) and finite unions (additivity). Given a topological space (X,τ) an ideal ℐ on X and A⊆X, ψ(A) is defined as ⋃{U∈τ:U−A∈ℐ}. A topology, denoted τ*,
T. R. Hamlett, David Rose
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