Some new sets and topologies in ideal topological spaces. Given an arbitrary sheaf e of amodules or amodule in short on a topological space x, we define annihilator sheaves of suba modules of e in a way similar to the classical case, and obtain. Thangavelu 2 1 department of mathematics, sathyabama university, chennai, tamil nadu 600119, india. In this research paper, a new class of open sets called gg open sets in topological space are introduced and studied. A new class of generalized open sets in a topological space, called bopen sets, is introduced and studied. Preregular spopen sets in topological spaces scielo.
Chaudhary and others published on alphaopen sets in a topological spaces find, read and cite all the research you need on researchgate. P\q for an ideal i and a strongly prime ideal q of p and zj ideals are discussed in poset p. The notion of m open sets in topological spaces were introduced by elmaghrabi and aljuhani 1 in 2011 and studied some of their properties. The relations between topological space on sspecp, the set iq x. Also some of their properties have been investigated. In topology, a function is said to be continuous if the inverse image of every open set is open. Minimal open sets on generalized topological space scielo. Ii article pdf available in southeast asian bulletin of mathematics 346 september 2010 with 2,487 reads. On neutrosophic semi open sets in neutrosophic topological spaces p.
Some new sets and topologies in ideal topological spaces r. In this paper, a new class of generalized open sets in a topological space, called pre regular spopen sets, is introduced and studied. This class is contained in the class of semipreopen. Generalized topological spaces and generalized open sets play a very impor tant role in almost all branches of pure and applied mathematics, specially. Suppose a z, then x is the only the only regular semi open set containing a and so r cla x. Omega open sets in generalized topological spaces emis.
The closure and the interior of a of a topological space x. Closed sets, hausdorff spaces, and closure of a set. In a topological space x, if x and are the only regular semi open sets, then every subset of x is irclosed set. Pdf a new type of semiopen sets and semicontinuity in. A topological space is a set x together with a collection o of subsets of. Our generalization of open sets in topo logical space is called bopen sets, which linked to bioperator topological spaces. On neutrosophic semiopen sets in neutrosophic topological. We also introduce ggclosure, gginterior, ggneighbourhood, gglimit points. Notes on introductory pointset topology cornell math. Let x be a topological space and x, be the regular semi open sets.