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Minimal closed sets and maximal closed sets
International Journal of Mathematics and Mathematical Sciences, 2006 Some properties of minimal closed sets and maximal closed sets are obtained, which are dual concepts of maximal open sets and minimal open sets, respectively. Common properties of minimal closed sets and minimal open sets are clarified; similarly, common
Fumie Nakaoka, Nobuyuki Oda
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On a class of sets between μ-closed sets and μg-closed sets [PDF]
Journal of Taibah University for Science, 2017 In this paper, a new class of sets called μ*g-closed sets are introduced and investigated with the help of μ-open and μg-open sets. Relationships between this new class and other related classes of sets are established.
Bishwambhar Roy, Ritu Sen
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Between *-Closed Sets and Iw-Closed Sets
Journal of New Results in Science, 2013 –closed sets ( Iω-closed sets ) and further properties of Iˆg-closedsets are investigated. In this paper, we introduce the notion ofImω-closed sets and obtain the unified characterizations for certain families of subsets between -closed sets and Iω ...
J.antony Rex Rodrigo, O. Ravi
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MORPHOLOGICAL SAMPLING OF CLOSED SETS
Image Analysis and Stereology, 2011 We briefiy survey the standard morphological approach (Heijmans, 1994) to the sampling (or discretization) of sets. Then we summarize the main results of our metric theory of sampling (Ronse and Tajine, 2000; 2001; 2002; Tajine and Ronse, 2002), which ...
Christian Ronse, Mohamed Tajine
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On types of generalized closed sets
Journal of Taibah University for Science, 2018 The paper studies relations between types of generalized closed sets in topological spaces. It also answers an open question posed by Erdal.
Zanyar A. Ameen
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Generalized closed sets and pre-closed sets via Bipolar single-valued neutrosophic Topological Spaces [PDF]
Neutrosophic Sets and Systems, 2021 The purpose of the paper is to introduce a new class of sets namely bipolar single-valued neutrosophic generalized closed sets and bipolar single-valued neutrosophic generalized pre- closed sets in bipolar single-valued neutrosophic topological spaces ...
V. Christy, K. Mohana
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Neutrosophic GS Closed Sets in Neutrosophic Topological Spaces [PDF]
Neutrosophic Sets and Systems, 2022 The notion of Neutrosophic sets naturally plays a significant role in the study of Neutrosophic topology which was introduced by A.A. Salama. Chang also studied fuzzy continuity which was proved to be of fundamental importance in the realm of ...
V. Banu Priya +3 more
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On Soft SIgδs-closed sets [PDF]
E3S Web of Conferences, 2023 In this paper, we introduce some new notions called soft SIgδs - closed sets, soft SIgδs - open sets. We obtain several characterizations and some of their properties. Also, we investigate its relationship with other types of sets.
Rosemathy Y. +4 more
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Semi generalization of δI*-closed sets in ideal topological space
Ratio Mathematica, 2022 In this paper we introduce the notion of semi generalized dI*-closed sets or gsdI*-closed sets using semi open sets and investigate its basic properties and characterizations in an ideal topological space.
K Palani, M Karthigai Jothi
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Communications on Pure and Applied Mathematics, 2014 Given a Tonelli Hamiltonian H:T*M → ℝ of class Ck, with k ≥ 2, we prove the following results: (1) Assume there exist a recurrent point of the projected Aubry set and a critical viscosity subsolution u such that u is a C1 critical solution in an open neighborhood of the positive orbit of . Suppose further that u is “C2 at ”.
Figalli, Alessio, Rifford, Ludovic
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