If A is contained in X, we denote by i_μ A the union of all μ -open sets contained in A and by c_μ A the intersection of all μ-closed sets contining A. They clearly determine the largest μ -open set contained in A and the smallest μ -closed set containing A, respectively...
58K Learn to define what open sets and closed sets are. Learn how to tell if a set is open or closed. Find out why the empty set is both open and closed. See examples. Related to this QuestionWhat is isotopy in topology? What are the open sets of the discrete space? What is al...
Ekeland, I., Hofer, H.: Convex Hamiltonian energy surfaces and their closed trajectories. Commun. Math. Phys.,113, 419–467 (1987) Article MATH MathSciNet Google Scholar Ekeland, I., Hofer, H.: Symplectic topology and Hamiltonian dynamics. Math. Z.,200, 355–378 (1990) Article MathSci...
In this paper a new form of fuzzy subset called fuzzy b-open (closed) set is introduced and studied. Properties of such fuzzy sets are investigated. Also the concept of fuzzy generalized b-closed (open) set is introduced and studied. The interrelationship of fuzzy generalized b-open set with...
In this paper, a new class of generalized soft open sets in soft topological spaces, called soft b-open sets, is introduced and studied. Then discussed the... M Akdag,A Ozkan - 《Mathematical Sciences》 被引量: 37发表: 2014年 On Soft Topological Space via Semiopen and Semiclosed Soft ...
We also calculate the topological (graph) dimension D and the small-world coefficient σ of these networks. While σ suggests a small-world topology, we found that D < 4 showing that long-distance connections provide only a small correction to the topology of the embedding three-...
J.-E. Pin, Polynomial closure of group languages and open sets of the Hall topology, ICALP 1994, Lect. Notes in Comp. Sci. 820, Springer Verlag, Berlin, Heidelberg, New York, (1994), 424-435.J.-E. Pin, Polynomial closure of group languages and open sets of the Hall topology,...
On Soft Topological Space via Semiopen and Semiclosed Soft Sets.doi:10.5666/KMJ.2014.54.2.221semiopen soft setsoft semicompactnesssoft semiconnectednesssoft semicontinuitySoft topological spaceThis paper introduces semiopen and semiclosed soft sets in soft topological spaces and then these are used to ...
摘要: In this paper, we introduce fuzzy e-open and closed sets, fuzzy e-interior and respective closure operators and investigate some of their properties. Also we discuss the relationship between the existing sets.DOI: 10.37418/amsj.9.4.68 年份: 2020 ...
Also proved that the family of all *gα-open sets of (Z2, k2), say *GαO(Z2, k2), forms an alternative topology of Z2. Also we derive the properties of *gα-closed and *gα-open sets in the digital plane via the singletons points. Keywords: *gα-closed sets, *gα-open ...