Genus and the Lyusternik-Schnirelmann category of preimages
In this paper some axiomatic generalization (function of open subsets) of the relative Lyusternik - Schnirelmann category is considered. For this function and a given map of the underlying space to a finite polyhedron some lower bounds on the value of this function on the preimage of some point are...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2007-12-01
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| Series: | Моделирование и анализ информационных систем |
| Online Access: | https://www.mais-journal.ru/jour/article/view/1144 |
| _version_ | 1797877951069421568 |
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| author | R. N. Karasev |
| author_facet | R. N. Karasev |
| author_sort | R. N. Karasev |
| collection | DOAJ |
| description | In this paper some axiomatic generalization (function of open subsets) of the relative Lyusternik - Schnirelmann category is considered. For this function and a given map of the underlying space to a finite polyhedron some lower bounds on the value of this function on the preimage of some point are given. |
| first_indexed | 2024-04-10T02:26:04Z |
| format | Article |
| id | doaj.art-6b43e8ac75214ac7a0d674d4d38c414a |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-10T02:26:04Z |
| publishDate | 2007-12-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-6b43e8ac75214ac7a0d674d4d38c414a2023-03-13T08:07:30ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172007-12-011443135885Genus and the Lyusternik-Schnirelmann category of preimagesR. N. Karasev0Московский физикотехнический институтIn this paper some axiomatic generalization (function of open subsets) of the relative Lyusternik - Schnirelmann category is considered. For this function and a given map of the underlying space to a finite polyhedron some lower bounds on the value of this function on the preimage of some point are given.https://www.mais-journal.ru/jour/article/view/1144 |
| spellingShingle | R. N. Karasev Genus and the Lyusternik-Schnirelmann category of preimages Моделирование и анализ информационных систем |
| title | Genus and the Lyusternik-Schnirelmann category of preimages |
| title_full | Genus and the Lyusternik-Schnirelmann category of preimages |
| title_fullStr | Genus and the Lyusternik-Schnirelmann category of preimages |
| title_full_unstemmed | Genus and the Lyusternik-Schnirelmann category of preimages |
| title_short | Genus and the Lyusternik-Schnirelmann category of preimages |
| title_sort | genus and the lyusternik schnirelmann category of preimages |
| url | https://www.mais-journal.ru/jour/article/view/1144 |
| work_keys_str_mv | AT rnkarasev genusandthelyusternikschnirelmanncategoryofpreimages |