We then consider various separation axioms for topolog ical spaces. The modern approach is to fix once and for all the axiomatization of topological space and then speak of kinds of topological spaces. Separation axioms are properties of topological space which, roughly speaking, say in what way two points, a point and a closed set, or two closed sets can be separated. Youngs 9 who encountered it in the study of locally connected spaces. Similarly, its not enough for subsets of a topological space to be disjoint. Some separation axioms in ltopological spaces scielo. A view on separation axioms in an ordered intuitionistic. Jaipuria college, 10, raja naba krishna street, kolkata 700 005, india. A view on separation axioms in an ordered intuitionistic fuzzy bitopological space. In the next definition we recall the separation axioms t0,t1. Pdf asoft separation axioms in soft topological space.
In this section, new classes of topological spaces called bcr 0 and bcr 1 spaces. The aim of this paper is to introduce and study new forms of separation axioms by mopen sets. A naive diagramchasing approach to formalisation of tame topology. I have recently been studying different separation and countability axioms in topology. New separation axioms in generalized topological spaces.
The last years a new science has appeared is soft topological space. The present chapter is intended to give a selfcontained development of some of the topics of fuzzy topology 54a40 that involve lrealvalued continuous functions on ltopological spaces. Hausdorff axioms of topology as diagram chasing computations. In topology and related fields of mathematics, there are several restrictions that one often. Eu into a topological space f, under what conditions iscontinuous. The separation axioms are denoted with the letter t after the german trennungsaxiom, which means separation axiom. Now all these arrows combine nicely into diagram figure 4c. Newest separationaxioms questions mathematics stack. The only separation axiom between to and t1 known heretofore was introduced by j. Separation axiom fos r topological ordered spaces by s. On some types of fuzzy separation axioms in fuzzy topological space on fuzzy sets doi.
X so that u contains one of x and y but not the other. We now consider a slightly different kind of separation axiom for a space formally, the definition. On separation axioms in intuitionistic topological spaces article pdf available in international journal of mathematics and mathematical sciences 2710 january 2001 with 154 reads. Business, international law high technology industry.
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