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Накрытия Расслоений Серра и их инварианты

С. 418–421.
Yakovlev E.
Language: Russian
Full text
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Keywords: расслоение Серраhomotopy groupнакрытиегомотопическая группа Serre bundle covering

In book

Материалы Международной конференции по алгебре, анализу и геометрии 2021
Каз.: Издательство Академии наук Республики Татарстан, 2021.
Similar publications
Existence Theorem for Coverings of Serre Bundles
Yakovlev E., Russian Mathematics, USA 2023 Vol. 67 No. 3 P. 76–84
In this paper, we study coverings of the Serre bundle category. A covering mapping of one such bundle onto another is understood as a morphism of the indicated category that consists of covering mappings of total spaces and bases. Earlier, the author associated each such covering with a subsequence of the homotopy sequence of the ...
Added: September 7, 2023
О накрытиях расслоений
Е. И. Яковлев, В кн.: Труды Математического центра имени Н.И. Лобачевского. Том 62.: КФУ, 2022. С. 125–127.
Исследуются накрытия в категории расслоений Серра. Под накрывающим отображением одного расслоения на другое понимается морфизм указанной категории, состоящий из накрывающих отображений тотальных пространств и баз. Построены инварианты таких накрытий и доказана теорема существования накрытия с заданным инвариантом. Показано, что из локальной тривиальности базового расслоения следует аналогичное свойство для накрывающего расслоения. ...
Added: October 24, 2022
Инварианты накрытий расслоений Серра
Yakovlev E., Russian Mathematics (USA) 2022 № 3 С. 71–84
The category of coverings of a given Serre bundle is investigated. By a covering mapping of one such bundle onto another we mean a morphism in the category of bundles consisting of covering mappings of total spaces and bases. An invariant of a covering from the indicated category is constructed, which is the conjugacy class of some subsequence ...
Added: August 10, 2022
Coverings in the Category of Principal Bundles
Gonchar T., Yakovlev E., Russian Mathematics 2021 Vol. 65 No. 4 P. 22–43
Исследуется категория регулярных накрытий заданного гладкого главного расслоения. Под накрывающим отображением одного главного расслоения на другое понимается морфизм в категории главных расслоений, состоящий из накрывающих отображений структурных групп, тотальных пространств и баз. Основные результаты: построение инварианта регулярного накрытия, представляющего собой подпоследовательность гомотопической последовательности базового расслоения, теорема существования накрытия с заданным инвариантом, критерии морфизмов и изоморфизмов, ...
Added: September 21, 2021
Сильная трансверсальная эквивалентность полных трансверсально аффинных слоений
Zhukova N., Труды Московского физико-технического института 2017 Т. 9 № 4 С. 132–141
Complete transversely affine foliations are studied. The strong transversal equivalence of complete affine foliations is investigated, which is a more refined notion than the transverse equivalence of foliations in the sense of Molino. A global holonomy group of a complete affine foliations is determined and it is proved that this group is the complete invariant of the foliation relatively ...
Added: November 28, 2017
О классификации полных аффинных слоений относительно сильной трансверсальной эквивалентности
Zhukova N., В кн.: Дифференциальные уравнения и их приложения в математическом моделировании: материалы XIII Международной научной конференции (Саранск, 12–16 июля 2017 г.).: Саранск: Средневолжское математическое общество (СВМО), 2017. С. 403–407.
Complete affine foliations (i.e., foliations admitting the affine geometry as the transversal structure) are investigated. The strong transversal equivalence of complete affine foliations is considered, which is a more refined notion than the transverse equivalence of foliations in the sense of Molino. The classification of complete affine foliations with respect to the strong transversal equivalence ...
Added: November 13, 2017
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