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pro vyhledávání: '"Particular point topology"'
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Publikováno v:
European Journal of Pure and Applied Mathematics. 14:695-705
In this paper, we present a way of constructing a topology on a vertex set of a graph using monophonic eccentric neighborhoods of the graph G. In this type of construction, we characterize those graphs that induced the indiscrete topology, the disc
Publikováno v:
Fuzzy Sets and Systems. 350:33-40
In this study, we aim to solve the open problem posed by Zahiri and Borzooei [23] , i.e., given an arbitrary linear topological BL-algebra ( L , U ) , under what condition does its topology U coincides with the new one V induced by a system of filter
Autor:
Sang-Eon Han, Il-Kang Na
Publikováno v:
Topology and its Applications. 241:333-344
In this paper, after discussing the one point compactification of the Khalimsky line (resp. the Khalimsky plane), denoted by ( Z ⁎ , κ ⁎ ) (resp. ( ( Z 2 ) ⁎ , ( κ 2 ) ⁎ ) ), we study various properties of these compactifications associated
Autor:
Žiga Virk, Andreas Zastrow
Publikováno v:
Topology and its Applications. 231:186-196
We generalize Brazas' topology on the fundamental group to the whole universal path space X ˜ , i.e., to the set of homotopy classes of all based paths. We develop basic properties of the new notion and provide a complete comparison of the obtained
Autor:
Ali Jaballah, Moussa Benoumhani
Publikováno v:
Fuzzy Sets and Systems. 321:101-114
We compute for the first time, the number of fuzzy topologies defined on a finite set and having a small number of open sets. Certain cases, where the number of open sets is large, are also considered. Several well known results are obtained as corol
Autor:
S. Nithyanantha Jothi, P. Thangavelu
Publikováno v:
Journal of Mathematical Sciences & Computer Applications. 1:95-107
The aim of this paper is to introduce a single structure which carries the subsets of X as well as the subsets of Y for studying the information about the ordered pair (A, B) of subsets of X and Y. Such a structure is called a binary structure from X
Autor:
Mangatiana A. Robdera
Publikováno v:
Journal of Nonlinear Analysis and Application, Vol 2017, Iss 1, Pp 31-42 (2017)
In this paper, we introduce and study a metric-like (non-necessarily metric) topology that is weaker than the original topology of a given topological space. The results are used to provide more useful and more general versions of some of the classic
Autor:
B. Bhattacharya
Publikováno v:
Afrika Matematika. 28:909-928
To the best of our knowledge, till date there are only two directions along which fuzzy topology (general topology) can be compared, one is the generalization of fuzzy topology (such as fuzzy supra topology, generalized fuzzy topology etc.) and the o
Autor:
Zuquan Li
Publikováno v:
Topology and its Applications. 212:90-104
Let CL ( X ) denote the set of all nonempty closed subsets of a topological space X . In this paper, we introduce the definitions of k F -covers and c V -covers of X . Under Fell topology τ F and Vietoris topology τ V on CL ( X ) , we investigate t