Morse theory for bundles

DOI10.1016/S0001-8708(82)80002-9zbMath0516.58015OpenAlexW2005704159MaRDI QIDQ1052706

Horacio Porta, Lázaro Recht

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/s0001-8708(82)80002-9

zbMATH Keywords

symmetric spacesgeneralized Morse index theorempath bundlessurgery for bundles

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Fiber bundles in algebraic topology (55R10)

Cites Work

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• Partitions of unity in the theory of fibrations
• Morse theory on Hilbert manifolds
• Morse Theory. (AM-51)