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THE CARTESIAN CLOSEDNESS OF THE CATEGORY FUZZ AND FUNCTION SPACES ON TOPOLOGICAL FUZZES(General Topology and Geometric Topology)openaire
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Joint Continuity and Compactness for a Graph Topology in General Function Spaces
Mathematische Nachrichten, 1991The author studies the joint continuity (or conjoining property) of graph topologies \(\Gamma_1\) and \(\Gamma_2\) as well as an Ascoli type result for \(\Gamma_1\) in terms of even continuity. \(\Gamma_2\) was introduced by the reviewer [Trans. Am. Math. Soc. 123, 267--272 (1966; Zbl 0151.29703)] and \(\Gamma_1\) by the author [Bull. Acad. Pol.
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Generalizations for Functions on Manifolds and Topological Spaces
2011The results and arguments in Chaps. 2 and 3 based upon isoperimetric and isocapacitary inequalities for sets in the Euclidean space can be readily extended to much more general situtations; the present chapter only touches such opportunities.
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Invariants and dimension functions in general topological spaces
Annali di Matematica Pura ed Applicata, 1969We give here a general method of defining invariants in topological spaces. As applications we give a new concept of dimension and a theorem on separation of spaces by sub-spaces.
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Generalized continuous functions defined by generalized open sets on generalized topological spaces
Acta Mathematica Hungarica, 2009For functions between generalized topological spaces, the author introduces and characterizes several kinds of generalized continuity defined by generalized open sets studied by \textit{Á. Császár} [Acta Math. Hung. 106, No. ~1--2, 53--66 (2005; Zbl 1076.54500)].
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A unified theory of contra-(μ,λ)-continuous functions in generalized topological spaces
Acta Mathematica Hungarica, 2011This manuscript considers the new notion of contra-\((\mu,\lambda)\)-continuous functions which are defined on generalized topological spaces (in the sense of \textit{Á. Császár} [Acta Math. Hung. 96, No. 4, 351--357 (2002; Zbl 1006.54003)]). Characterizations and several properties of such functions are obtained.
Al-Omari, A., Noiri, T.
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Some fundamental geometric and topological properties of generalized Orlicz‐Lorentz function spaces
Mathematische Nachrichten, 2011AbstractGeneralized Orlicz‐Lorentz function spaces Λφ generated by Musielak‐Orlicz functions φ satisfying some growth and regularity conditions (cf. 34 and 38) are investigated. A regularity condition \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\Delta ^{\Lambda }_{2}$\end{document} for φ is defined in such a way that it
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Transactions of the American Mathematical Society, 1929
aggregate or set P and a relation E'KE between subsets E, E' of P. The set E' is assumed to be unique and determined for each subset E of the fundamental set P. Thus the relation E' = K(E) defines a single-valued set-valued set-function, whose range is the class of all subsets of P, and whose values are also subsets of P.
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aggregate or set P and a relation E'KE between subsets E, E' of P. The set E' is assumed to be unique and determined for each subset E of the fundamental set P. Thus the relation E' = K(E) defines a single-valued set-valued set-function, whose range is the class of all subsets of P, and whose values are also subsets of P.
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