نتایج جستجو برای: real valued continuous functions and integer valued continuous functions on frames

تعداد نتایج: 18641392  

D. R. Jardon M. Sanchis

We study the space of all continuous fuzzy-valued functions  from a space $X$ into the space of fuzzy numbers $(mathbb{E}sp{1},dsb{infty})$  endowed with the pointwise convergence topology.   Our results generalize the classical ones for  continuous real-valued functions.   The field of applications of this approach seems to be large, since the classical case  allows many known devices to be fi...

In this paper, we define and study the notion of the real-valued functions on a frame $L$. We show that $F(L) $, consisting of all frame homomorphisms from the power set of $mathbb{R}$ to a frame $ L$, is an $f$-ring, as a generalization of all functions from a set $X$ into $mathbb R$. Also, we show that $F(L) $ is isomorphic to a sub-$f$-ring of $mathcal{R}(L)$, the ring of real-valued continu...

Journal: :Transactions of the American Mathematical Society 1961

Journal: :Acta Universitatis Sapientiae, Mathematica 2018

M. Mirmiran

A necessary and sufficient condition in terms of lower cut sets are given for the insertion of a $gamma-$continuous function between two comparable real-valued functions.

For a Tychonoff space $X$, we denote by $C_p(X)$ the space of all real-valued continuous functions on $X$ with the topology of pointwise convergence.  We study a functional characterization of the covering property of Hurewicz.

Journal: :categories and general algebraic structures with application 0
abolghasem karimi feizabadi department of mathematics, gorgan branch, islamic azad university, gorgan, iran. ali akbar estaji faculty of mathematics and computer sciences, hakim sabzevari university, sabzevar, iran. mohammad zarghani faculty of mathematics and computer sciences, hakim sabzevari university, sabzevar, iran.

in this paper, we define and study the notion of the real-valued functions on a frame $l$. we show that $f(l) $, consisting of all frame homomorphisms from the power set of $mathbb{r}$ to a frame $ l$, is an $f$-ring, as a generalization of all functions from a set $x$ into $mathbb r$. also, we show that $f(l) $ is isomorphic to a sub-$f$-ring of $mathcal{r}(l)$, the ring of real-valued continu...

Journal: :bulletin of the iranian mathematical society 2015
s. maghsoudi a. rejali

in this paper, we first introduce some function spaces, with certain locally convex topologies, closely  related to the space of real-valued continuous functions on $x$,  where $x$ is a $c$-distinguished topological space. then, we show that their dual spaces can be identified in a natural way with certain spaces of radon measures.

Journal: :bulletin of the iranian mathematical society 2011
m. mirmiran

a necessary and sufficient condition in terms of lower cut sets are given for the insertion of a $gamma-$continuous function between two comparable real-valued functions.

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