On operations on some classes of discontinuous maps
A map $f:X\rightarrow Y$ between topological spaces is called scatteredly continuous (pointwise discontinuous) if for each non-empty (closed) subspace $A\subset X$ the restriction $f|_{A}$ has a point of continuity. We define a map $f:X\to Y$ to be weakly discontinuous if for every non-empty subspac...
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| Format: | Article |
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Vasyl Stefanyk Precarpathian National University
2013-01-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/92 |
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doaj-65bade5d5c3b4bcc957b6d18854f43902020-11-25T02:15:40ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102013-01-0132364810.15330/cmp.3.2.36-4896On operations on some classes of discontinuous mapsB. M. Bokalo0N. M. Kolos1Ivan Franko National University of LvivIvan Franko National University of LvivA map $f:X\rightarrow Y$ between topological spaces is called scatteredly continuous (pointwise discontinuous) if for each non-empty (closed) subspace $A\subset X$ the restriction $f|_{A}$ has a point of continuity. We define a map $f:X\to Y$ to be weakly discontinuous if for every non-empty subspace $A\subset X$ the set $D(f|_A)$ of discontinuity points of the restriction $f|_A$ is nowhere dense in $A$.<br />In this paper we consider the composition, Cartesian and diagonal product of weakly discontinuous, scatteredly continuous and pointwise discontinuous maps.<br />http://journals.pu.if.ua/index.php/cmp/article/view/92 |
| 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 2313-0210 |
| publishDate |
2013-01-01 |
| description |
A map $f:X\rightarrow Y$ between topological spaces is called scatteredly continuous (pointwise discontinuous) if for each non-empty (closed) subspace $A\subset X$ the restriction $f|_{A}$ has a point of continuity. We define a map $f:X\to Y$ to be weakly discontinuous if for every non-empty subspace $A\subset X$ the set $D(f|_A)$ of discontinuity points of the restriction $f|_A$ is nowhere dense in $A$.<br />In this paper we consider the composition, Cartesian and diagonal product of weakly discontinuous, scatteredly continuous and pointwise discontinuous maps.<br /> |
| url |
http://journals.pu.if.ua/index.php/cmp/article/view/92 |
| work_keys_str_mv |
AT bmbokalo onoperationsonsomeclassesofdiscontinuousmaps AT nmkolos onoperationsonsomeclassesofdiscontinuousmaps |
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1724894738209832960 |