Results 251 to 260 of about 17,406,387 (286)
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Acta Mathematica Hungarica, 2007
Characterizations of γ-open sets and locally γ-regular sets are given. We generalize some already established results and answer an open question by giving a characterization to γ-quasi-open sets.
P. Sivagami, D. Sivaraj
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Characterizations of γ-open sets and locally γ-regular sets are given. We generalize some already established results and answer an open question by giving a characterization to γ-quasi-open sets.
P. Sivagami, D. Sivaraj
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Acta Mathematica Hungarica, 1997
Various kinds of generalized open sets are studied together in this article. The author considers monotone mappings \(\gamma:\exp X\to \exp X\) (monotone in the sense that \(A\subset B\) implies \(\gamma(a)\subset \gamma(B)\)), and develops properties common to several classes of generalized open sets.
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Various kinds of generalized open sets are studied together in this article. The author considers monotone mappings \(\gamma:\exp X\to \exp X\) (monotone in the sense that \(A\subset B\) implies \(\gamma(a)\subset \gamma(B)\)), and develops properties common to several classes of generalized open sets.
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Hacettepe Journal of Mathematics and Statistics, 2016
Summary: We introduce and explore generalized open sets namely \(\gamma\)-pre-open and \(\gamma\)-b-open sets in topological spaces. We also explore and investigate the properties and characterizations of \(\gamma\)-b-continuous function, \(\gamma\)-b-irresolute function and \(\gamma\)-b-open(closed) functions.
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Summary: We introduce and explore generalized open sets namely \(\gamma\)-pre-open and \(\gamma\)-b-open sets in topological spaces. We also explore and investigate the properties and characterizations of \(\gamma\)-b-continuous function, \(\gamma\)-b-irresolute function and \(\gamma\)-b-open(closed) functions.
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Classifications of generalized index sets of open classes
Journal of Symbolic Logic, 1978The Rice-Shapiro Theorem [4] says that the index set of a class of recursively enumerable (r.e.) sets is r.e. if and only if consists of all sets which extend an element of a canonically enumerable sequence of finite sets. If an index of a difference of r.e. (d.r.e.) sets is defined to be the pair of indices of the r.e.
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Generative-Discriminative Feature Representations for Open-Set Recognition
2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), 2020We address the problem of open-set recognition, where the goal is to determine if a given sample belongs to one of the classes used for training a model (known classes). The main challenge in open-set recognition is to disentangle open-set samples that produce high class activations from known-set samples.
Pramuditha Perera +6 more
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Loewner’s Theorem for General Open Sets
2019In this chapter, we discuss versions of Loewner’s theorem that replace (a, b) by a more general open subset of \({\mathbb {R}}\). Let \(\Omega \subset {\mathbb {R}}\) be an open subset of \({\mathbb {R}}\).
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On general rotation sets of open billiards
Archiv der Mathematik, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Open Sets vis-a-vis $\Delta$-Sets
2019This paper concerns about the splitting of the collections of generalized open sets in topological spaces and their decompositions. Several characterizations of these sets are also discussed in this paper. Further, this paper also introduce a new type of normal space and its characterizations. Several properties of this space are discussed.
MODAK, Shyamapada, ISLAM, Md. Monirul
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REMARKS ON REGULAR GENERALIZED OPEN SETS
Advances in Mathematics: Scientific Journal, 2020N. Viriyapong, C. Viriyapong
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