rc-continuous functions and functions with rc-strongly closed graph
The family of regular closed subsets of a topological space is used to introduce two concepts concerning a function f from a space X to a space Y. The first of them is the notion of f being rc-continuous. One of the established results states that a space Y is extremally disconnected if and only if...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203203410 |
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| _version_ | 1850169522372214784 |
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| author | Bassam Al-Nashef |
| author_facet | Bassam Al-Nashef |
| author_sort | Bassam Al-Nashef |
| collection | DOAJ |
| description | The family of regular closed subsets of a topological space is
used to introduce two concepts concerning a function f from a
space X to a space Y. The first of them is the notion of f
being rc-continuous. One of the established results states that a
space Y is extremally disconnected if and only if each
continuous function from a space X to Y is rc-continuous. The
second concept studied is the notion of a function f having an
rc-strongly closed graph. Also one of the established results
characterizes rc-compact spaces (≡S-closed spaces) in
terms of functions that possess rc-strongly closed graph. |
| format | Article |
| id | doaj-art-9ff8a819fcb54281ba41288db5aac00d |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9ff8a819fcb54281ba41288db5aac00d2025-08-20T02:20:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003724547455510.1155/S0161171203203410rc-continuous functions and functions with rc-strongly closed graphBassam Al-Nashef0Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, JordanThe family of regular closed subsets of a topological space is used to introduce two concepts concerning a function f from a space X to a space Y. The first of them is the notion of f being rc-continuous. One of the established results states that a space Y is extremally disconnected if and only if each continuous function from a space X to Y is rc-continuous. The second concept studied is the notion of a function f having an rc-strongly closed graph. Also one of the established results characterizes rc-compact spaces (≡S-closed spaces) in terms of functions that possess rc-strongly closed graph.http://dx.doi.org/10.1155/S0161171203203410 |
| spellingShingle | Bassam Al-Nashef rc-continuous functions and functions with rc-strongly closed graph International Journal of Mathematics and Mathematical Sciences |
| title | rc-continuous functions and functions with rc-strongly closed graph |
| title_full | rc-continuous functions and functions with rc-strongly closed graph |
| title_fullStr | rc-continuous functions and functions with rc-strongly closed graph |
| title_full_unstemmed | rc-continuous functions and functions with rc-strongly closed graph |
| title_short | rc-continuous functions and functions with rc-strongly closed graph |
| title_sort | rc continuous functions and functions with rc strongly closed graph |
| url | http://dx.doi.org/10.1155/S0161171203203410 |
| work_keys_str_mv | AT bassamalnashef rccontinuousfunctionsandfunctionswithrcstronglyclosedgraph |