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Soft ideal topological space and mixed fuzzy soft ideal topological space
Boletim da Sociedade Paranaense de Matemática, 2017 In this paper we introduce fuzzy soft ideal and mixed fuzzy soft ideal topological spaces and some properties of this space. Also we introduce fuzzy soft $I$-open set, fuzzy soft $\alpha$-$I$-open set, fuzzy soft pre-$I$-open set, fuzzy soft semi-$I$-open set and fuzzy soft $\beta$-$I$-open set and discuss some of their properties.
Manash Borah, Bipan Hazarika
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Role of ideals on $\sigma$-topological spaces
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2022 In this writeup, we have discussed the role of ideals on $\sigma$-topological spaces. Using this idea, we have also studied and discussed two operators $()^{*\sigma}$ and $\psi_{\sigma}$. We have extended this concept to a new generalized set and investigated some basic properties of these concepts using $()^{*\sigma}$ and $\psi_{\sigma}$ operators.
MIAH, Chhapikul +3 more
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Kink dynamics in the MSTB model [PDF]
, 2019 Producción CientíficaIn this paper kink scattering processes are investigated in the Montonen–Sarker–Trullinger–Bishop (MSTB) model. The MSTB model is in fact a one-parametric family of relativistic scalar field theories living in a one-time one-space ...
Alonso Izquierdo, Alberto
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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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Journal of Inequalities and Applications, 2022 Consider the space of weighted binomial matrices in the Nakano sequence space of soft functions. We have offered some geometric and topological structures of the multiplication operator acting on this space and its associated operator ideal.
Meshayil M. Alsolmi +3 more
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The closure of ideals of $\boldsymbol{\ell^1(\Sigma)}$ in its enveloping $\boldsymbol{\mathrm{C}^\ast}$-algebra [PDF]
, 2017 If $X$ is a compact Hausdorff space and $\sigma$ is a homeomorphism of $X$, then an involutive Banach algebra $\ell^1(\Sigma)$ of crossed product type is naturally associated with the topological dynamical system $\Sigma=(X,\sigma)$.
de Jeu, Marcel, Tomiyama, Jun
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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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The Novikov conjecture on Cheeger spaces [PDF]
, 2016 We prove the Novikov conjecture on oriented Cheeger spaces whose fundamental group satisfies the strong Novikov conjecture. A Cheeger space is a stratified pseudomanifold admitting, through a choice of ideal boundary conditions, an L2-de Rham cohomology ...
Albin, Pierre +3 more
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Ideals on Generalized Topological Spaces
International Journal of Analysis and Applications, 2020 In this paper, we define the g-closure operator and investigate some of its crucial properties. We also introduce and study the concept of ψg-classes and generalized compatibly of generalized topology with ideal. This work is generalization of [4].
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A note on Nakano generalized difference sequence space
Advances in Difference Equations, 2020 In this paper, we investigate the necessary conditions on any s-type sequence space to form an operator ideal. As a result, we show that the s-type Nakano generalized difference sequence space X fails to generate an operator ideal.
Awad A. Bakery, Afaf R. Abou Elmatty
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