On θ-generalized closed sets
The aim of this paper is to study the class of θ-generalized closed sets, which is properly placed between the classes of generalized closed and θ-closed sets. Furthermore, generalized Λ-sets [16] are extended to θ-generalized Λ-sets and R0-, T1/2- and T1-spaces are characterized. The relations with...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299222399 |
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| _version_ | 1832562305393491968 |
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| author | Julian Dontchev Haruo Maki |
| author_facet | Julian Dontchev Haruo Maki |
| author_sort | Julian Dontchev |
| collection | DOAJ |
| description | The aim of this paper is to study the class of θ-generalized closed sets, which is properly placed between the classes of generalized closed and θ-closed sets.
Furthermore, generalized Λ-sets [16] are extended to
θ-generalized Λ-sets and R0-, T1/2- and T1-spaces are characterized. The relations with other notions directly or indirectly connected with generalized closed sets are investigated. The notion of TGO-connectedness is introduced. |
| format | Article |
| id | doaj-art-13a7c9adb35d47a1a5dcb5e671cd0d9f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-13a7c9adb35d47a1a5dcb5e671cd0d9f2025-02-03T01:22:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122223924910.1155/S0161171299222399On θ-generalized closed setsJulian Dontchev0Haruo Maki1Department of Mathematics, PL 4, Yliopistonkatu 5, University of Helsinki, Helsinki 10 00014, FinlandDepartment of Mathematics, Faculty of Education, Saga University, Saga 840, JapanThe aim of this paper is to study the class of θ-generalized closed sets, which is properly placed between the classes of generalized closed and θ-closed sets. Furthermore, generalized Λ-sets [16] are extended to θ-generalized Λ-sets and R0-, T1/2- and T1-spaces are characterized. The relations with other notions directly or indirectly connected with generalized closed sets are investigated. The notion of TGO-connectedness is introduced.http://dx.doi.org/10.1155/S0161171299222399θ-generalized closedθ-closureΛ-setTGO-connected. |
| spellingShingle | Julian Dontchev Haruo Maki On θ-generalized closed sets International Journal of Mathematics and Mathematical Sciences θ-generalized closed θ-closure Λ-set TGO-connected. |
| title | On θ-generalized closed sets |
| title_full | On θ-generalized closed sets |
| title_fullStr | On θ-generalized closed sets |
| title_full_unstemmed | On θ-generalized closed sets |
| title_short | On θ-generalized closed sets |
| title_sort | on θ generalized closed sets |
| topic | θ-generalized closed θ-closure Λ-set TGO-connected. |
| url | http://dx.doi.org/10.1155/S0161171299222399 |
| work_keys_str_mv | AT juliandontchev onthgeneralizedclosedsets AT haruomaki onthgeneralizedclosedsets |