Decomposition of semi-continuous functions into the sum of quasi-continuous functions and the oscillation of almost continuous functions (in Ukrainian)
We prove that every semi-continuous function on a metrizable space is decompose into sum of two quasi-continuous functions. And then we obtain a new characterization of the oscillation of almost continuous functions.
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| Format: | Article |
| Language: | German |
| Published: |
Ivan Franko National University of Lviv
2011-05-01
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| Series: | Математичні Студії |
| Subjects: | |
| Online Access: | http://matstud.org.ua/texts/2011/35_2/205-214.pdf |
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| _version_ | 1839597930540957696 |
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| author | O. V. Maslyuchenko |
| author_facet | O. V. Maslyuchenko |
| author_sort | O. V. Maslyuchenko |
| collection | DOAJ |
| description | We prove that every semi-continuous function on a metrizable space is decompose into sum of two quasi-continuous functions. And then we obtain a new characterization of the oscillation of almost continuous functions. |
| format | Article |
| id | doaj-art-bcb907c6e7fe45fc82c8c20446cd62ab |
| institution | Matheson Library |
| issn | 1027-4634 |
| language | deu |
| publishDate | 2011-05-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-bcb907c6e7fe45fc82c8c20446cd62ab2025-08-02T18:05:39ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342011-05-01352205214Decomposition of semi-continuous functions into the sum of quasi-continuous functions and the oscillation of almost continuous functions (in Ukrainian)O. V. MaslyuchenkoWe prove that every semi-continuous function on a metrizable space is decompose into sum of two quasi-continuous functions. And then we obtain a new characterization of the oscillation of almost continuous functions.http://matstud.org.ua/texts/2011/35_2/205-214.pdfWe prove that every semi-continuous function on a metrizable space is decompose into sum of two quasi-continuous functions. And then we obtain a new characterization of the oscillation of almost continuous functions. |
| spellingShingle | O. V. Maslyuchenko Decomposition of semi-continuous functions into the sum of quasi-continuous functions and the oscillation of almost continuous functions (in Ukrainian) Математичні Студії We prove that every semi-continuous function on a metrizable space is decompose into sum of two quasi-continuous functions. And then we obtain a new characterization of the oscillation of almost continuous functions. |
| title | Decomposition of semi-continuous functions into the sum of quasi-continuous functions and the oscillation of almost continuous functions (in Ukrainian) |
| title_full | Decomposition of semi-continuous functions into the sum of quasi-continuous functions and the oscillation of almost continuous functions (in Ukrainian) |
| title_fullStr | Decomposition of semi-continuous functions into the sum of quasi-continuous functions and the oscillation of almost continuous functions (in Ukrainian) |
| title_full_unstemmed | Decomposition of semi-continuous functions into the sum of quasi-continuous functions and the oscillation of almost continuous functions (in Ukrainian) |
| title_short | Decomposition of semi-continuous functions into the sum of quasi-continuous functions and the oscillation of almost continuous functions (in Ukrainian) |
| title_sort | decomposition of semi continuous functions into the sum of quasi continuous functions and the oscillation of almost continuous functions in ukrainian |
| topic | We prove that every semi-continuous function on a metrizable space is decompose into sum of two quasi-continuous functions. And then we obtain a new characterization of the oscillation of almost continuous functions. |
| url | http://matstud.org.ua/texts/2011/35_2/205-214.pdf |
| work_keys_str_mv | AT ovmaslyuchenko decompositionofsemicontinuousfunctionsintothesumofquasicontinuousfunctionsandtheoscillationofalmostcontinuousfunctionsinukrainian |