Remarks on the rings of functions which have a finite numb er of di scontinuities

Remarks on the rings of functions which have a finite numb er of di scontinuities

Let X be an arbitrary topological space. F(X) denotes the set of all real-valued functions on X and C(X)F denotes the set of all f ∈ F(X) such that f is discontinuous at most on a finite set. It is proved that if r is a positive real number, then for any f ∈ C(X)F which is not a unit of C(X)F there...

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Bibliographic Details
Main Authors: Mohammad Reza Ahmadi Zand, Zahra Khosravi
Format: Article
Language:English
Published: Universitat Politècnica de València 2021-04-01
Series:Applied General Topology
Subjects:
c(x)f
z-ultrafilter
completely separated
c(x)f -embedded
z-filter
over-rings of c(x)
artinian ring
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/14332

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