Existence theorem for coverings of Serre bundles

DOI10.3103/s1066369x23030088OpenAlexW4384911862WikidataQ123126379 ScholiaQ123126379MaRDI QIDQ6047513

Evgeniy Ivanovich Yakovlev

Publication date: 12 September 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x23030088

zbMATH Keywords

coveringhomotopy groupSerre bundles

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Topology of vector bundles and fiber bundles (57R22) Fiber bundles in algebraic topology (55R10) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Attractors and an analog of the Lichnérowicz conjecture for conformal foliations
• Index vector-function and minimal cycles
• Geometry and topology of some fibered Riemannian manifolds
• On interrelations between divergence-free and Hamiltonian dynamics
• Coverings in the category of principal bundles
• Invariants of coverings of Serre fibrations
• Topological classification of gradient-like flows with surface dynamics on 3-manifolds
• On the number of heteroclinic curves of diffeomorphisms with surface dynamics
• Periodic flows on three-manifolds
• The topological classification of structurally stable 3-diffeomorphisms with two-dimensional basic sets
• ON THE REPRESENTATION OF MINIMAL SETS OF CURRENTS ON TWO-DIMENSIONAL MANIFOLDS BY GEODESICS
• The Geometries of 3-Manifolds