On operations on some classes of discontinuous maps

On operations on some classes of discontinuous maps

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A map $f:Xightarrow Y$ between topological spaces is calledscatteredly continuous (pointwise discontinuous) if for eachnon-empty (closed) subspace $Asubset X$ the restriction $f|_{A}$has a point of continuity. We define a map $f:Xo Y$ to be weaklydiscontinuous if for every non-empty subspace $Asubse...

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Main Authors: B. M. Bokalo, N. M. Kolos
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2011-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/92/81
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spelling doaj-660f66b4807f4a2fad2333d9b4493d722020-11-25T02:48:47ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272011-12-01323648On operations on some classes of discontinuous mapsB. M. BokaloN. M. KolosA map $f:Xightarrow Y$ between topological spaces is calledscatteredly continuous (pointwise discontinuous) if for eachnon-empty (closed) subspace $Asubset X$ the restriction $f|_{A}$has a point of continuity. We define a map $f:Xo Y$ to be weaklydiscontinuous if for every non-empty subspace $Asubset X$ the set$D(f|_A)$ of discontinuity points of the restriction $f|_A$ isnowhere dense in $A$.In this paper we consider the composition, Cartesian and diagonalproduct of weakly discontinuous, scatteredly continuous andpointwise discontinuous maps.http://journals.pu.if.ua/index.php/cmp/article/view/92/81
collection DOAJ
language English
format Article
sources DOAJ
author B. M. Bokalo
N. M. Kolos
spellingShingle B. M. Bokalo
N. M. Kolos
On operations on some classes of discontinuous maps
Karpatsʹkì Matematičnì Publìkacìï
author_facet B. M. Bokalo
N. M. Kolos
author_sort B. M. Bokalo
title On operations on some classes of discontinuous maps
title_short On operations on some classes of discontinuous maps
title_full On operations on some classes of discontinuous maps
title_fullStr On operations on some classes of discontinuous maps
title_full_unstemmed On operations on some classes of discontinuous maps
title_sort on operations on some classes of discontinuous maps
publisher Vasyl Stefanyk Precarpathian National University
series Karpatsʹkì Matematičnì Publìkacìï
issn 2075-9827
publishDate 2011-12-01
description A map $f:Xightarrow Y$ between topological spaces is calledscatteredly continuous (pointwise discontinuous) if for eachnon-empty (closed) subspace $Asubset X$ the restriction $f|_{A}$has a point of continuity. We define a map $f:Xo Y$ to be weaklydiscontinuous if for every non-empty subspace $Asubset X$ the set$D(f|_A)$ of discontinuity points of the restriction $f|_A$ isnowhere dense in $A$.In this paper we consider the composition, Cartesian and diagonalproduct of weakly discontinuous, scatteredly continuous andpointwise discontinuous maps.
url http://journals.pu.if.ua/index.php/cmp/article/view/92/81
work_keys_str_mv AT bmbokalo onoperationsonsomeclassesofdiscontinuousmaps
AT nmkolos onoperationsonsomeclassesofdiscontinuousmaps
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