Induced almost continuous functions on hyperspaces
نویسندگان
چکیده
منابع مشابه
Contra $beta^{*}$-continuous and almost contra $beta^{*}$-continuous functions
The notion of contra continuous functions was introduced and investigated by Dontchev. In this paper, we apply the notion of $beta^{*}$-closed sets in topological space to present and study a new class of functions called contra $beta^{*}$-continuous and almost contra $beta^{*}$-continuous functions as a new generalization of contra continuity.
متن کاملFuzzy Almost Continuous Functions
In this paper, we further study properties of fuzzy almost continuous functions in Singal’s and Hussain’s sense and establish a condition for their equivalence which is an improvement of Theorem 5.5 of [2]. Some divergences from straightforward fuzzification of General Topology have also been noted in Example 1 and Theorem 4. We also define fuzzy almost weakly continuous and fuzzy nearly almost...
متن کاملOn Additive Almost Continuous Functions under Cpa
We prove that the Covering Property Axiom CPA prism, which holds in the iterated perfect set model, implies that there exists an additive discontinuous almost continuous function f : R → R whose graph is of measure zero. We also show that, under CPA prism, there exists a Hamel basis H for which, E+(H), the set of all linear combinations of elements from H with positive rational coefficients, is...
متن کاملAlmost Slightly νg−Continuous Functions
In this paper we discuss a new type of continuous functions called almost slightly νg−continuous functions; its properties and interrelation with other continuous functions are studied.
متن کاملInduced Dynamics on the Hyperspaces
In this paper, we study the dynamics induced by finite commutative relation. We prove that the dynamics generated by such a non-trivial collection cannot be transitive/super-transitive and hence cannot exhibit higher degrees of mixing. As a consequence we establish that the dynamics induced by such a collection on the hyperspace endowedwith any admissible hit andmiss topology cannot be transiti...
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: Colloquium Mathematicum
سال: 2006
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm105-1-8