On decompositions of continuity in topological spaces
type: Item
instance of: scholarly article
title: On decompositions of continuity in topological spaces
zbMATH Open document ID: 1224.54006
author: Valeriu Popa
author: T. Noiri
published in: Acta Mathematica Hungarica
publication date: 2011-02-08T00:00:00Z
review text: By using \(m\)-structures \(m_{1}, m_{2}\) on a topological space \((X, \tau)\), the authors define a set \(D(m_{1}, m_{2})=\{A: m_{1}\text{Int}(A) = m_{2}\text{Int}(A)\}\), where \(m_1\) and \(m_2\) are minimal structures on a nonempty set \(X\), and obtain many decompositions of open sets and weak forms of open sets. Thus the decompositions provide many decompositions of continuity and weak forms of continuity.
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 54C05
Mathematics Subject Classification ID: 54C08
zbMATH DE Number: 5848624
zbMATH Keywords: m-structure
zbMATH Keywords: m-space
zbMATH Keywords: \(\omega\)-closed
zbMATH Keywords: \(g\)-closed
zbMATH Keywords: \(D(m_1,m_2)\)-set
zbMATH Keywords: decomposition of continuity
reviewed by: Shou Lin
MaRDI profile type: Publication
full work available at URL: s10474-010-9179-6
OpenAlex ID: W2003214036
cites work: Q3697865
cites work: Q3740617
cites work: Q4287219
cites work: Q3595066
cites work: On the various decompositions of continuous and some weakly continuous functions
cites work: Q3036255
cites work: Q4027455
cites work: Q4316885
cites work: On strongly Lindelöf spaces
cites work: Semi-Open Sets and Semi-Continuity in Topological Spaces
cites work: Generalized closed sets in topology
cites work: Q3687317
cites work: \(\alpha\)-continuous and \(\alpha\)-open mappings
cites work: On some classes of nearly open sets
cites work: Q3539353
cites work: Between closed sets and \(g\)-closed sets
cites work: THE UNIFIED THEORY OF CERTAIN TYPES OF GENERALIZATIONS OF LINDELÖF SPACES
cites work: On the definitions of some generalized forms of continuity under minimal conditions
cites work: A unified theory of weak continuity for functions
cites work: Q4289950
cites work: A decomposition of continuity and \(\alpha\)-continuity
cites work: Q3367105
cites work: Q5424267
cites work: Q3379227
DOI: 10.1007/S10474-010-9179-6
description: scientific article; zbMATH DE number 5848624