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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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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Completely β** generalized continuous functions in intuitionistic fuzzy topological spaces
AIP Conference Proceedings, 2020In this paper we have introduced intuitionistic fuzzy completely β** generalized continuous functions and investigated some of their properties. Also we have provided some characterization of intuitionistic fuzzy completely β** generalized continuous functions.
S. M. Sudha, D. Jayanthi
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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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Almost continuous functions defined from a generalized topological space into a bitopological space.
International Journal of Mathematics and Computer ScienceIn this paper, we introduce the notion of almost \mu(\sigma_1,\sigma_2)-continuous functions. Moreover, we investigate some characterizations of almost \mu(\sigma_1,\sigma_2)-continuous functions.
Ketsarawadee Ketwong +2 more
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Towards Computational Complexity Theory on Advanced Function Spaces in Analysis
Conference on Computability in Europe, 2016A. Kawamura +2 more
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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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POINTWISE CONVERGENCE TOPOLOGY AND FUNCTION SPACES IN FUZZY ANALYSIS
, 2017Daniel Roberto Jardón, M. Sanchis
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Semantic Representation of General Topology in the Wolfram Language
International Conference on Intelligent Computer Mathematics, 2017Ian Ford
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