We define and study new ideas of fibrewise topological space namely fibrewise multi-topological space . We also submit the relevance of fibrewise closed and open topological space . Also fibrewise multi-locally sliceable and fibrewise multi-locally section able multi-topological space . Furthermore, we propose and prove a number of statements about these ideas. On the other hand, extend separation axioms of ordinary topology into fibrewise setting. The separation axioms are said to be fibrewise multi-T0. spaces, fibrewise multi-T1spaces, fibrewise multi-R0 spaces, fibrewise multi-Hausdorff spaces, fibrewise multi-functionally Hausdorff spaces, fibrewise multi-regular spaces, fibrewise multi-completely regular spaces, fibrewise multi-normal spaces and fibrewise multi-functionally normal spaces. Also we give many score regarding it.. Furthermore, and show the notions of fibrewise multi-compact, fibrewise locally multi-compact spaces, Moreover, we study relationships between fibrewise multi-compact(resp., locally multi-compac) space and some fibrewise multi-separation axioms. Finally, the concepts are studied fibrewise multi-perfect topological spaces, filter base, contact point, multi-rigid, fibrewise multi-weakly closed, E set, fibrewise almost multi-perfect, multi*-continuous fibrewise multi∗ -topological spaces respectively, multi-Te, locally QHC, In addition, we state and prove several propositions related to these concepts.
In this paper, we introduced some new definitions on P-compact topological ring and PL-compact topological ring for the compactification in topological space and rings, we obtain some results related to P-compact and P-L compact topological ring.
Topology and its applications occupy the interest of many researching centers in the advanced world. From this point of view and because the near open sets play a very important role in general topology and they are now the research topics of many topologists worldwide and its sets doesn’t enter in fibrewise topology yet. Therefore, we use some of the near open sets to be model for introduce results and new spaces in fibrewise topological spaces. Also, there is a very important role of closure operators in constructing a topological spaces, so we introduce a new closure operators on the power set of vertices on graphs and conclusion theorems and new spaces from it. Furthermore, we discuss the relationships of connectedness between some ty
... Show MoreThe aim of this paper is to introduce and study the concept of SN-spaces via the notation of simply-open sets as well as to investigate their relationship to other topological spaces and give some of its properties.
The purpose of this paper is to study a new types of compactness in bitopological spaces. We shall introduce the concepts of L- compactness.
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The field of identification of similarity was considered a subject of research strongly recommended in the areas of semantic web, artificial intelligence and linguistic literature. In this paper a new similarity measure is proposed based on the Wu and Palmer measure. This measure is applied on the domain of the pedagogical ontology. Results obtained showed that the new measure gives better relevance of the similarity values compared to the approach of Wu and Palmer and it appears that the proposed measure is advantageous because obtained results showed that it is faster and capable of obtaining results to concepts not located in the same path.
In the present study, the cluster concept was adopted to find points parallel to the cumulative points of any subset in topology cluster proximity spaces. The takeoff set term was given by the researcher to the set of all points. Also, an opposite definition was found for it, which is the follower set. The relation between them was found and their most important properties were highlighted. Through these two sets, new sets were built that are called, f_σ-set ,f_tσ-set ,t_fσ-set ,bushy set, scant set .
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This paper is devoted to the discussion the relationships of connectedness between some types of graphs (resp. digraph) and Gm-closure spaces by using graph closure operators.
How I was eager to research the ruling on three of the most dangerous types to Islam and Muslims (the heretic, the sorcerer, the innovator, and related terms).
Because it is the most dangerous deadly disease that destroys the hearts of Muslims, and may even expel a Muslim from the circle of Islam, and how many Muslims have done or committed such a thing without knowing it. Indeed, how many Muslims have left Islam and whose wife has abandoned him without realizing it, and among them are those who have committed it without knowing it. As well as related words associated with heresy.( )
Because people debated such matters between extremists and lenient ones, most of whom were extremists, and they did not reach a conclusion. So I decid