Almost fully closed mappings and quasi-$F$-compacta.
<span style="color: #000000;">The notion of an almost fully closed mapping, which generalizes the definition of a fully closed map, is introduced. It is shown that the composition of almost fully closed mappings of </span><span style="color: #000000;">compacta&l...
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| Format: | Article |
| Language: | English |
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Karelian Research Centre of the Russian Academy of Sciences
2018-06-01
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| Series: | Transactions of the Karelian Research Centre of the Russian Academy of Sciences |
| Subjects: | |
| Online Access: | http://journals.krc.karelia.ru/index.php/mathem/article/view/771 |
| _version_ | 1818498268829581312 |
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| author | Aleksander Ivanov |
| author_facet | Aleksander Ivanov |
| author_sort | Aleksander Ivanov |
| collection | DOAJ |
| description | <span style="color: #000000;">The notion of an almost fully closed mapping, which generalizes the definition of a fully closed map, is introduced. It is shown that the composition of almost fully closed mappings of </span><span style="color: #000000;">compacta</span><span style="color: #000000;"> with the first axiom of countability is also almost fully closed, and so is the limit of a countable inverse transfinite sequence of the same mappings. A class of quasi-</span><span style="color: #008000;">$F$</span><span style="color: #000000;">-</span><span style="color: #000000;">compacta</span><span style="color: #000000;"> (which contains the class of </span><span style="color: #000000;">Fedorchuk</span><span style="color: #000000;">compacta</span><span style="color: #000000;">) is defined. For this class, some statements are proved that generalize and strengthen the known theorems on </span><span style="color: #008000;">$F$</span><span style="color: #000000;">-</span><span style="color: #000000;">compacta</span><span style="color: #000000;">.</span> |
| first_indexed | 2024-12-10T18:56:00Z |
| format | Article |
| id | doaj.art-49cfda56ffb34dceada78ab28dfa3763 |
| institution | Directory Open Access Journal |
| issn | 1997-3217 2312-4504 |
| language | English |
| last_indexed | 2024-12-10T18:56:00Z |
| publishDate | 2018-06-01 |
| publisher | Karelian Research Centre of the Russian Academy of Sciences |
| record_format | Article |
| series | Transactions of the Karelian Research Centre of the Russian Academy of Sciences |
| spelling | doaj.art-49cfda56ffb34dceada78ab28dfa37632022-12-22T01:37:09ZengKarelian Research Centre of the Russian Academy of SciencesTransactions of the Karelian Research Centre of the Russian Academy of Sciences1997-32172312-45042018-06-01710.17076/mat771600Almost fully closed mappings and quasi-$F$-compacta.Aleksander Ivanov<span style="color: #000000;">The notion of an almost fully closed mapping, which generalizes the definition of a fully closed map, is introduced. It is shown that the composition of almost fully closed mappings of </span><span style="color: #000000;">compacta</span><span style="color: #000000;"> with the first axiom of countability is also almost fully closed, and so is the limit of a countable inverse transfinite sequence of the same mappings. A class of quasi-</span><span style="color: #008000;">$F$</span><span style="color: #000000;">-</span><span style="color: #000000;">compacta</span><span style="color: #000000;"> (which contains the class of </span><span style="color: #000000;">Fedorchuk</span><span style="color: #000000;">compacta</span><span style="color: #000000;">) is defined. For this class, some statements are proved that generalize and strengthen the known theorems on </span><span style="color: #008000;">$F$</span><span style="color: #000000;">-</span><span style="color: #000000;">compacta</span><span style="color: #000000;">.</span>http://journals.krc.karelia.ru/index.php/mathem/article/view/771почти вполне замкнутое отображениекомпакт федорчукаквази-$f$-компактрезольвента. almost fully closed mappingfedorchuk compactumquasi-$f$-compactumresolution. |
| spellingShingle | Aleksander Ivanov Almost fully closed mappings and quasi-$F$-compacta. Transactions of the Karelian Research Centre of the Russian Academy of Sciences почти вполне замкнутое отображение компакт федорчука квази-$f$-компакт резольвента. almost fully closed mapping fedorchuk compactum quasi-$f$-compactum resolution. |
| title | Almost fully closed mappings and quasi-$F$-compacta. |
| title_full | Almost fully closed mappings and quasi-$F$-compacta. |
| title_fullStr | Almost fully closed mappings and quasi-$F$-compacta. |
| title_full_unstemmed | Almost fully closed mappings and quasi-$F$-compacta. |
| title_short | Almost fully closed mappings and quasi-$F$-compacta. |
| title_sort | almost fully closed mappings and quasi f compacta |
| topic | почти вполне замкнутое отображение компакт федорчука квази-$f$-компакт резольвента. almost fully closed mapping fedorchuk compactum quasi-$f$-compactum resolution. |
| url | http://journals.krc.karelia.ru/index.php/mathem/article/view/771 |
| work_keys_str_mv | AT aleksanderivanov almostfullyclosedmappingsandquasifcompacta |