In this thesis, we introduced some kinds of fibrewise topological spaces by using totally continuous function is called fibrewise totally topological spaces. We generalize some fundamental results from fibrewise topology into fibrewise totally topological spaces. We also introduce the concepts of fibrewise totally separation axioms, fibrewise totally compact and locally totally compact topological spaces. As well as fibrewise totally perfect topological spaces. We explain and discuss new notion of fibrewise topological spaces, namely fibrewise totally topological spaces. We, also introduce the concepts of fibrewise totally closed topological spaces, fibrewise totally open topological spaces, fibrewise locally sliceable and locally sectionable totally topological spaces. One the other hand, we studied fibrewise totally forms of the more essential separation axioms of ordinary topology namely fibrewise totally T_0 spaces, fibrewise totally T_1 spaces, fibrewise totally R_0 spaces, fibrewise totally Hausdorff spaces, fibrewise totally functionally Hausdorff spaces, fibrewise totally regular spaces, fibrewise totally completely regular spaces, fibrewise totally normal spaces and fibrewise totally functionally normal spaces. Too we add numerous outcomes about it. As well as, we introduced a notion fibrewise totally compact and fibrewise locally totally compact topological spaces. Finally, we introduced a notion fibrewise totally perfect topological spaces, fibrewise weakly totally closed topological spaces, fibrewise totally rigidlly sets, fibrewise totally almost perfect topological spaces and fibrewise T^*topological spaces. We study several theorm and characterizations converning these concepts.
This paper presents a sight about the chemical structure deformation of poly (ethylene-co-vinyl acetate) (EVA) samples according to the change ratio of rate constant values. Spectroscopy kinetics fluorescence curves are fitted for two characteristic wavelength domains of fluorescent intensities. The short wavelengths (320-400 nm) domain show spectra overlapping, while at long wavelengths (400-800 nm) domain spectra are arranged in regular for each specific accelerated aging time. The ratio of kinetics rate constant at long wavelengths to kinetics rate constant of short wavelengths is the criterion of the degree chemical structure deformation. Molar extrin
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Relation on a set is a simple mathematical model to which many real-life data can be connected. A binary relation on a set can always be represented by a digraph. Topology on a set can be generated by binary relations on the set . In this direction, the study will consider different classical categories of topological spaces whose topology is defined by the binary relations adjacency and reachability on the vertex set of a directed graph. This paper analyses some properties of these topologies and studies the properties of closure and interior of the vertex set of subgraphs of a digraph. Further, some applications of topology generated by digraphs in the study of biological systems are cited.
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Let be any group with identity element (e) . A subgroup intersection graph of a subset is the Graph with V ( ) = - e and two separate peaks c and d contiguous for c and d if and only if , Where is a Periodic subset of resulting from . We find some topological indicators in this paper and Multi-border (Hosoya and Schultz) of , where , is aprime number.
The main purpose of this article is to study the soft LC-spaces as soft spaces in which every soft Lindelöf subset of is soft closed. Also, we study the weak forms of soft LC-spaces and we discussed their relationships with soft LC-spaces as well as among themselves.
Sequences spaces , m , p have called quasi-Sobolev spaces were introduced by Jawad . K. Al-Delfi in 2013 [1]. In this paper , we deal with notion of quasi-inner product space by using concept of quasi-normed space which is generalized to normed space and given a relationship between pre-Hilbert space and a quasi-inner product space with important results and examples. Completeness properties in quasi-inner product space gives us concept of quasi-Hilbert space . We show that , not all quasi-Sobolev spa
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This matter demands protecting economy from the acquisition on it by the holding companies with their influential impacts as a willingness to dominate and control the other companies which could lead to the disruption of the principle of equality among the shareholders in the financial and administrative rights because some persons follow several methods of control over the activity of the acquisition- targeted companies and the confiscation of the rights of others resulting in a negative impact if accompanied by a lack of transparency and disclosure by holding companies. The holding company, whether directly or indirectly, may control a company's administration or other companies' administration leading to expansion in acquisition
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In this thesis, we study the topological structure in graph theory and various related results. Chapter one, contains fundamental concept of topology and basic definitions about near open sets and give an account of uncertainty rough sets theories also, we introduce the concepts of graph theory. Chapter two, deals with main concepts concerning topological structures using mixed degree systems in graph theory, which is M-space by using the mixed degree systems. In addition, the m-derived graphs, m-open graphs, m-closed graphs, m-interior operators, m-closure operators and M-subspace are defined and studied. In chapter three we study supra-approximation spaces using mixed degree systems and primary object in this chapter are two topological
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