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  • Lusternik–Schnirelmann category  (1)
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    Electronic Resource
    Electronic Resource
    Geometrical Decomposition of the Free Loop Space on a Manifold with Finitely Many Closed Geodesics (1997)
    Springer
    Georgian mathematical journal 4 (1997), S. 65-80 
    Details
    ISSN: 1572-9176
    Keywords: Morse theory ; closed geodesics ; critical points ; free loop space ; Lusternik–Schnirelmann category
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In Morse theory an isolated degenerate critical point can be resolved into a finite number of nondegenerate critical points by perturbing the totally degenerate part of the Morse function inside the domain of a generalized Morse chart. Up to homotopy we can admit pertubations within the whole characteristic manifold. Up to homotopy type a relative CW-complex is attached, which is the product of a big relative CW-complex, representing the degenerate part, and a small cell having the dimension of the Morse index.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022164931221
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