The purpose of this paper is to study a new class of fuzzy covering dimension functions, called fuzzy

In this paper we show that if ? Xi is monotonically T2-space then each Xi is monotonically T2-space, too. Moreover, we show that if ? Xi is monotonically normal space then each Xi is monotonically normal space, too. Among these results we give a new proof to show that the monotonically T2-space property and monotonically normal space property are hereditary property and topologically property and give an example of T2-space but not monotonically T2-space.

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

              -convex sets and -convex functions, which are considered as an important class of generalized convex sets and convex functions, have been introduced and studied by Youness [5] and other researchers. This class has recently extended, by Youness, to strongly -convex sets and strongly -convex functions. In these generalized classes, the definitions of the classical convex sets and convex functions are relaxed and introduced with respect to a mapping . In this paper, new properties of strongly -convex sets are presented. We define strongly -convex hull, strongly -convex cone, and strongly -convex cone hull and we proof some of their properties.  Some examples to illustrate the aforementioned concepts and to cl

The aim of this paper is to present a weak form of -light functions by using -open set which is -light function, and to offer new concepts of disconnected spaces and totally disconnected spaces. The relation between them have been studied. Also, a new form of -totally disconnected and inversely -totally disconnected function have been defined, some examples and facts was submitted.

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.

In this paper we define a signal soft set as a mathematical tool to represent and study atoms, anti-atoms, electrons, anti-electrons, protons, and anti-protons, and generate a signal soft topology, with an example of signal soft topology on H₂O.

In this paper, we define some generalizations of topological group namely -topological group, -topological group and -topological group with illustrative examples. Also, we define grill topological group with respect to a grill. Later, we deliberate the quotient on generalizations of topological group in particular -topological group. Moreover, we model a robotic system which relays on the quotient of -topological group.

Der ägyptische christliche Schriftsteller und Dramaturg Alfred
Faradj wurde 1929 in El-Zaqazek/ Alexandria geboren. An der
philosophischen Fakultät der Universität Alexandria erhielt er 1949 den
B.A. Grad. Von 1949 bis 1950 arbeitete er als Lehrer und als
Theaterkritiker bei verschiedenen Zeitungen wie Akhir Sa’a, Ros El-
Yousef, El- Ghad und El-Djiel. 1952 erhielt er den Sultan-ElAwies-Preis
für Literatur. Die goldene Medaille für Künste und Literaturschaffen
bekam Faradj 1956 für seinen ersten Einakter Saut Missr’/ Die Stimme
Ägyptens. Dieses Stück wurde im Dezember 1956 am Nationaltheater in
Kairo aufgeführt und von Hamdy Ghaith inszeniert.

Wer es heute beabsichtige, eine detaillierte Arbeit über die Rezeption des Nibelungenliedes zu schreiben, könnte damit einfach mehrere Bände wahrnehmen. Deswegen wird es sinnvoller sein, den Forschungsprozess auf bestimmten, aber wichtigen Aspekten zu skizzieren. Darum kann nur unter strikter Beschränkung auf die Hauptrichtungen, Hauptprobleme und Hauptfiguren des Liedes gewagt werden.

Der irakische Kritiker Moḥammed Šawqi Moḥammed Ḫalifa bedankt sich bei den „Dichtern des 12.Jahrhunderts, weil sie uns die deutschen Epen übertragen haben.“[1] Diese Epen kann man auch als Mythen betrachten, in denen sich Sagen und Märchen vermischen.