منابع مشابه
Intersection Properties of Systems of Finite Sets
Let X be a finite set of cardinality n. If L = {ll , . . ., l,} is a set of nonnegative integers with 1 1 < 1 2 < . . . < lr , and k is a natural number, then by an (n, L, k)-system we mean a collection of k-element subsets of X such that the intersection of any two different sets has cardinality belonging to L. We prove that if d is an (n, L, k)-system, with I ~V I > enr -1 (c = e(k) is a cons...
متن کاملApplications of fuzzy $e$-open sets
The aim of this paper is to introduce and study the notions of fuzzy upper $e$-limit set, fuzzy lower $e$-limit set and fuzzy $e$-continuously convergent functions. Properties and basic relationships among fuzzy upper $e$-limit set, fuzzy lower $e$- limit set and fuzzy $e$-continuity are investigated via fuzzy $e$-open sets.
متن کاملSome Properties of Maximal Open Sets
Some fundamental properties of maximal open sets are obtained, such as decomposition theorem for a maximal open set. Basic properties of intersections of maximal open sets are established, such as the law of radical closure. 1. Introduction. A proper nonempty open subset U of a topological space X is said to be a maximal open set if any open set which contains U is X or U. In [2], we study mini...
متن کاملKhedr PROPERTIES OF ij − DELTA OPEN SETS
The notion of δ−open sets in bitopological spaces was introduced by Banerjee [2]. In this paper we more investigate ij− δ−open sets. We study some sets related to ij− δ−open sets. Also, we study some separation axioms in bitopological spaces based on ij − δ−open sets.
متن کاملSome results on maximal open sets
In this paper, the notion of maximal m-open set is introduced and itsproperties are investigated. Some results about existence of maximal m-open setsare given. Moreover, the relations between maximal m-open sets in an m-spaceand maximal open sets in the corresponding generated topology are considered.Our results are supported by examples and counterexamples.
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: Topology and its Applications
سال: 1985
ISSN: 0166-8641
DOI: 10.1016/0166-8641(85)90001-x