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Ratio Mathematica, 2023 In this article, we explore the idea of door space on -topological space. Here, we discuss which door spaces in this space are related with submaximal. The equivalent conditions shows how it connects a -topological property. Also, we derive various door
Loyala Foresith Spencer J +1 more
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On i-topological spaces: generalization of the concept of a topological space via ideals
Applied General Topology, 2006 The aim of this paper is to generalize the structure of a topological space, preserving its certain topological properties. The main idea is to consider the union and intersection of sets modulo “small” sets which are defined via ideals.
Irina Zvina
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Nigh-Open Sets in Topological Space
International Journal of Analysis and Applications, 2023 In this paper, we aim to introduce a new class of open sets namely nigh-open set. Accordingly, we define a topological space called a nigh-topological space. This consequently leads us to outline several new operations in connection with the sets in nigh-
Jamal Oudetallah +2 more
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Sahand Communications in Mathematical Analysis, 2017 Summary: By substituting the usual notion of open sets in a topological space \(X\) with a suitable collection of maps from \(X\) to a frame \(L\), we introduce the notion of L-topological spaces. Then, we proceed to study the classical notions and properties of usual topological spaces to the newly defined mathematical notion.
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Boletim da Sociedade Paranaense de MatemáticaThe purpose of this paper is to introduce a new structure called primal. Primal is the dual structure of grill. Like ideal, the dual of filter, this new structure also generates a new topology named primal topology. We introduce a new operator using primal, which satisfies Kuratowski closure axioms.
Santanu Acharjee +2 more
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Frontiers in Big Data, 2020 A novel subject classification scheme should often be applied to a preclassified bibliographic database for the research evaluation task. Generally, adopting a new subject classification scheme is labor intensive and time consuming, and an effective and ...
Kei Kurakawa, Yuan Sun, Satoko Ando
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Ways of obtaining topological measures on locally compact spaces [PDF]
Известия Иркутского государственного университета: Серия "Математика", 2018 Topological measures and quasi-linear functionals generalize measures and li\-near functionals. Deficient topological measures, in turn, generalize topological measures.
S. V. Butler
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On some properties of $T_0$-ordered reflection
Applied General Topology, 2014 In [12], the authors give an explicit construction of the T0−ordered reflection of an ordered topological space (X, τ,≤) . All ordered topological spaces such that whose T0−ordered reflections are T1−ordered spaces are characterized.
Sami Lazaar, Abdelouaheb Mhemdi
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Unified characterization for higher-order topological phase transitions
Physical Review Research, 2023 Higher-order topological phase transitions (HOTPTs) are associated with closing either the bulk energy gap (type-I) or boundary energy gap (type-II) without changing symmetry, and conventionally, both transitions are captured in real space and ...
Wei Jia +4 more
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Locally compact space and continuity
Bibechana, 2010 Topological spaces for being T0, T1, T2 and regular space have been discussed. The conditions for a topological space to be locally compact have also been studied. We have found that a continuous function preserves locally compactness.
Shitanshu Shekhar Choudhary +1 more
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