منابع مشابه
P-Sets and (i)-P-Sets for Real Function Space
We study p-sets and (i)-p-sets for a real function space A and compare them with p-sets for its complexification. We also discuss the relation of p-sets and (i)-p-sets with weak peak sets and weak (i)-peak sets which generalize our result of [7]. Using some of the results, we generalize a result of Izzo [2] (proved for a complex function algebra) for a real function space A. Mathematics Subject...
متن کاملThe hierarchy of ω 1 - Borel sets 1 The hierarchy of ω 1 - Borel sets Arnold
We consider the ω1-Borel subsets of the reals in models of ZFC. This is the smallest family of sets containing the open subsets of the 2 and closed under ω1 intersections and ω1 unions. We show that Martin’s Axiom implies that the hierarchy of ω1-Borel sets has length ω2. We prove that in the Cohen real model the length of this hierarchy is at least ω1 but no more than ω1 + 1. Some authors have...
متن کاملMILDLY g-ω-CLOSED SETS
In this paper, another generalized class of τ called mildly g-ωclosed sets is introduced and the notion of mildly g-ω-open sets in topological spaces is introduced and studied. The relationships of mildly g-ω-closed sets with various other sets are investigated.
متن کاملOn generalized ω-closed sets
The class of ω-closed subsets of a space (X ,τ) was defined to introduce ω-closed functions. The aim of this paper is to introduce and study the class of gω-closed sets. This class of sets is finer than g-closed sets and ω-closed sets. We study the fundamental properties of this class of sets. In the space (X ,τω), the concepts closed set, g-closed set, and gω-closed set coincide. Further, we i...
متن کاملRegular Generalized ω-Closed Sets
Recommended by Lokenath Debnath In 1982 and 1970, Hdeib and Levine introduced the notions of ω-closed set and generalized closed set, respectively. The aim of this paper is to provide a relatively new notion of generalized closed set, namely, regular generalized ω-closed, regular generalized ω-continuous, a-ω-continuous, and regular generalized ω-irresolute maps and to study its fundamental pro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Polish Academy of Sciences Mathematics
سال: 2005
ISSN: 0239-7269,1732-8985
DOI: 10.4064/ba53-2-1