Results 1 to 10 of about 82 (60)
(I , γ)-generalized semi-closed sets in topological spaces
, 2010 In this paper we introduce (I , γ)-generalized semi-closed sets in topological spaces and also introduce γS - TI-spaces and investigate some of their properties. 2010 Mathematics Subject Classifications. 54B05, 54C08, 54D05. .
R. Devi, A. Selvakumar, M. Vigneshwaran
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On δ-βc-Connectedness in Topological Spaces via δ-βc-Open Sets
Journal of Physics, Conference Series, 2021 In this article a new property which is namely, δ — βc — connectedness in Topological spaces is introduced and investigated by utilizing new generalized of open set which is called δ — βc — open set.
G. Awad, Alaa M. F. AL. Jumaili
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Connectivity with respect to α-discrete closure operators
Open Mathematics, 2022 We discuss certain closure operators that generalize the Alexandroff topologies. Such a closure operator is defined for every ordinal α>0\alpha \gt 0 in such a way that the closure of a set AA is given by closures of certain α\alpha -indexed sequences ...
Šlapal Josef
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Tree sums of maximal connected spaces [PDF]
Topology and its Applications, 2017 A topology τ on a set X is called maximal connected if it is connected, but no strictly finer topology τ∗ > τ is connected. We consider a construction of socalled tree sums of topological spaces, and we show how this construction preserves maximal ...
A. Bartoš
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Path-induced closure operators on graphs for defining digital Jordan surfaces
Open Mathematics, 2019 Given a simple graph with the vertex set X, we discuss a closure operator on X induced by a set of paths with identical lengths in the graph. We introduce a certain set of paths of the same length in the 2-adjacency graph on the digital line ℤ and ...
Šlapal Josef
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Galois connections between sets of paths and closure operators in simple graphs
Open Mathematics, 2018 For every positive integer n,we introduce and discuss an isotone Galois connection between the sets of paths of lengths n in a simple graph and the closure operators on the (vertex set of the) graph.
Šlapal Josef
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, 2017 In this paper, we introduce and investigate a new type of Alexandroff space using well known type of posets. In this type, topological properties are reflected in lattice properties.
H. A. Othman, H. Mahdi
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Locally n-Connected Compacta and UVn-Maps
Analysis and Geometry in Metric Spaces, 2015 We provide a machinery for transferring some properties of metrizable ANR-spaces to metrizable LCn-spaces. As a result, we show that for completely metrizable spaces the properties ALCn, LCn and WLCn coincide to each other.
Valov V.
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RARELY $s^*g$-CONTINUOUS FUNCTIONS
, 2015 The notion of rare continuity was introduced by Popa. In the present paper, we introduce a new class of functions, called rarely sg-continuous functions and investigate some of its fundamental properties.
K. Kannan, D. Rjalakshmi, B. Gurukiruba
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Rough connected topologized approximation spaces
, 2014 The topological view for connectedness is more general and is applied for topologies on discrete sets. Rough thinking is one of the topological connections to uncertainty.
M. J. Iqelan
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