Almost continuous Darboux functions and Reed's pointwise convergence criteria

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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 کامل

Group-valued Continuous Functions with the Topology of Pointwise Convergence

Let G be a topological group with the identity element e. Given a space X, we denote by Cp(X,G) the group of all continuous functions from X to G endowed with the topology of pointwise convergence, and we say that X is: (a) G-regular if, for each closed set F ⊆ X and every point x ∈ X \ F , there exist f ∈ Cp(X,G) and g ∈ G \ {e} such that f(x) = g and f(F ) ⊆ {e}; (b) G-regular provided that t...

متن کامل

Sums of Darboux and continuous functions

It is shown that for every Darboux function F there is a non-constant continuous function f such that F + f is still Darboux. It is shown to be consistent—the model used is iterated Sacks forcing—that for every Darboux function F there is a nowhere constant continuous function f such that F + f is still Darboux. This answers questions raised in [5] where it is shown that in various models of se...

متن کامل

Fuzzy 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 کامل

Sierpinski-Zygmund functions that are Darboux, almost continuous, or have a perfect road

In this paper we show that if the real line R is not a union of less than continuum many of its meager subsets then there exists an almost continuous Sierpiński–Zygmund function having a perfect road at each point. We also prove that it is consistent with ZFC that every Darboux function f :R→ R is continuous on some set of cardinality continuum. In particular, both these results imply that the ...

متن کامل

ذخیره 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: Fundamenta Mathematicae

سال: 1974

ISSN: 0016-2736,1730-6329

DOI: 10.4064/fm-86-1-1-7