Results 31 to 40 of about 1,076,084 (287)
A uniform approach to normality for topological spaces
Applied General Topology, 2016 $(\lambda, \mu)$-regularity and $(\lambda, \mu)$-normality are defined for generalized topological spaces. Several variants of normality existing in the literature turn out to be particular cases of $(\lambda, \mu)$-normality. Uryshon's lemma and Titze's
Ankit Gupta, Ratna Dev Sarma
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Generality of topological inflation [PDF]
Classical and Quantum Gravity, 2003 Many authors claimed that a large initial inhomogeneity prevents the onset of inflation and therefore inflation takes place only if the scalar field is homogeneous or appropriately chosen over the horizon scale. We show that those arguments do not apply to topological inflation.
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Some Properties of Generalized Topologies in GTSs
Communications in Advanced Mathematical Sciences, 2020 In this article, we introduce one new generalized topology and investigate its properties in a generalized topological space. Also, we give various properties of some generalized topologies defined in a generalized topological space.
Vadakasi Subramanian
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On generalized topological spaces II [PDF]
Annales Polonici Mathematici, 2013 26 ...
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Generalized open sets of Minkowski space [PDF]
Mathematica Moravica, 2015 We consider the Euclidean topology and s-topology on n-dimensional Minkowski space and investigate the interior and closure of the space cone and perforated space cone with respect to these topologies.
Ersoy Soley, Bilgin Merve, Ince Ibrahim
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Topological gyrogroups: Generalization of topological groups
Topology and its Applications, 2017 The author studies topological left automorphic left Bol loops. In the terminology of \textit{A. A. Ungar} [Analytic hyperbolic geometry and Albert Einstein's special theory of relativity. Hackensack, NJ: World Scientific (2008; Zbl 1147.83004)] left automorphic left Bol loops are called gyrogroups.
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New generalized closure operators induced by local functions via ideals [PDF]
Journal of Mahani Mathematical ResearchThis work aims to introduce and examine four new operators based on the topological structure “ideal” and the notion of “generalized” generating two generalized ideal topological spaces.
Salah El-Din Abass +3 more
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Continuous generalized metric spaces
四川大学学报. 自然科学版, 2020 Continuous generalized metric spaces are introduced and investigated in this paper. It is shown that for such spaces, the generalized Scott topology is equal to c-Scott topology, and that a non-expansive map between such spaces is Yoneda continuous if ...
Yu Jun-Che
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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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On Generic Topological Embeddings
Results in MathematicsAbstract We show that an embedding of a fixed 0-dimensional compact space K into the Čech–Stone remainder $$\omega ^*$$ ω ∗ as a nowhere dense P-set is the unique generic ...
Wiesław Kubiś +2 more
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