Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 180, Pages 23–30
DOI: https://doi.org/10.36535/0233-6723-2020-180-23-30 (Mi into637) 		 
Equivariant bundles

P. S. Gevorgyan

Moscow State Pedagogical University
Full-text PDF (198 kB)
References:
PDF
HTML
DOI: https://doi.org/10.36535/0233-6723-2020-180-23-30
Abstract: In this paper, we study equivariant Hurewicz bundles, obtain their internal characteristics, and prove theorems on relationship between equivariant bundles and bundles generated by them. Local and global properties of equivariant bundles are examined. An equivariant analog of the Hurewicz theorem on passing from local bundles to global bundles is proved. A classification of equivariant bundles with the uniqueness property of the covering path is given.
Keywords: equivariant covering homotopy, equivariant bundles, equivariant homotopy, $H$-fixed point, $H$-orbit space, normal $G$-covering, weakly locally trivial $G$-bundle.
Document Type: Article
UDC: 515.122.4
MSC: 55R05, 55R65, 55R91
Language: Russian
Citation: P. S. Gevorgyan, “Equivariant bundles”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 180, VINITI, Moscow, 2020, 23–30
Citation in format AMSBIB
\Bibitem{Gev20}
\by P.~S.~Gevorgyan
\paper Equivariant bundles
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 180
\pages 23--30
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into637}
\crossref{https://doi.org/10.36535/0233-6723-2020-180-23-30}
Linking options:
  • https://www.mathnet.ru/eng/into637
  • https://www.mathnet.ru/eng/into/v180/p23
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
    Statistics & downloads:
    Abstract page:100
    Full-text PDF :54
    References:14
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024