scholarly journals \mu - k - Connectedness in GTS

2014 ◽  
Vol 33 (2) ◽  
pp. 161-165
Author(s):  
Shyamapada Modak ◽  
Takashi Noiri
Keyword(s):  
Connected Sets ◽  
Separated Sets

Csaszar [4] introduced \mu - semi - open sets, \mu - preopen sets, \mu - \alpha - open sets and \mu - \beta - open sets in a GTS (X, \tau). By using the \mu - \sigma - closure, \mu - \pi - closure, \mu - \alpha - closure and \mu - \beta - closure in (X, \tau), we introduce and investigate the notions \mu - k - separated sets and \mu - k - connected sets in (X, \tau).

scholarly journals Generalized Fuzzy Soft Connected Sets in Generalized Fuzzy Soft Topological Spaces

2018 ◽  
Vol 14 (2) ◽  
pp. 7787-7805
Author(s):  
Mohammed Saleh Malfi ◽  
Fathi Hishem Khedr ◽  
Mohamad Azab Abd Allah
Keyword(s):  
Topological Spaces ◽  
Connected Sets ◽  
Separated Sets ◽  
The Relationship

In this paper we introduce some types of generalized fuzzy soft separated sets and study some of their properties. Next, the notion of connectedness in fuzzy soft topological spaces due to Karata et al, Mahanta et al, and Kandil  et al., extended to generalized fuzzy soft topological spaces. The relationship between these types of connectedness in generalized fuzzy soft topological spaces is investigated with the help of number of counter examples.

scholarly journals Weakly chain separated sets in a topological space

2021 ◽  
Vol 52 ◽  
pp. 5-16
Author(s):  
Nikita Shekutkovski ◽  
Zoran Misajleski ◽  
Aneta Velkoska ◽  
Emin Durmishi
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Connected Sets ◽  
Connected Set ◽  
Separated Sets ◽  
Better Than

In this paper we introduce the notion of pair of weakly chain separated sets in a topological space. If two sets are chain separated in the topological space, then they are weakly chain separated in the same space. We give an example of weakly chain separated sets in a topological space that are not chain separated in the space. Then we study the properties of these sets. Also we mention the criteria for two kind of topological spaces by using the notion of chain. The topological space is totally separated if and only if any two different singletons (unit subsets) are weakly chain separated in the space, and it is the discrete if and only if any pair of different nonempty subsets are chain separated. Moreover we give a criterion for chain connected set in a topological space by using the notion of weakly chain separateness. This criterion seems to be better than the criterion of chain connectedness by using the notion of pair of chain separated sets. Then we prove the properties of chain connected, and as a consequence of connected sets in a topological space by using the notion of weakly chain separateness.

scholarly journals \mu-\mu^{*} - Connectedness via Hereditary Classes

2013 ◽  
Vol 33 (1) ◽  
pp. 41
Author(s):  
Shyamapada Modak
Keyword(s):  
Topological Spaces ◽  
Hereditary Class ◽  
Connected Sets ◽  
Connected Set ◽  
Separated Sets

This paper is an attempt to study and introduce the notion of - - connected set in generalized topological spaces with a hereditary class. We have also investigate the relationships between -separated sets, s - connected sets, c -I - connected sets, c -c -connected sets, c-I - connected sets, -I - connected sets. Further we give some representations of the above connected sets via (-0) - continuity and (-0) - openness.

scholarly journals Fuzzy Soft Connected Sets in Fuzzy Soft Topological Spaces

2016 ◽  
Vol 12 (8) ◽  
pp. 6473-6888 ◽  
Author(s):  
A Kandil ◽  
O. A. E Tantawy
Keyword(s):  
Topological Spaces ◽  
Connected Sets ◽  
Fuzzy Topological Spaces ◽  
Separated Sets ◽  
The Relationship

In this paper we introduce some types of fuzzy soft separated sets and study some of thier preperties. Next, the notion of connectedness in fuzzy topological spaces due to Ming and Ming, Zheng etc., extended to fuzzy soft topological spaces. The relationship between these types of connectedness in fuzzy soft topological spaces is investigated with the help of number of counter examples.

Maximal connected sets—application to microcell CDMA

1994 ◽  
Vol 7 (1) ◽  
pp. 29-32 ◽  
Author(s):  
A. Z. Tirkel ◽  
C. F. Osborne ◽  
N. Mee ◽  
G. A. Rankin ◽  
A. McAndrew
Keyword(s):  
Connected Sets
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