Euler-Poincaré index theory on Banach manifolds

A. J. Tromba

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1975)

  • Volume: 2, Issue: 1, page 89-106
  • ISSN: 0391-173X

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Tromba, A. J.. "Euler-Poincaré index theory on Banach manifolds." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 2.1 (1975): 89-106. <http://eudml.org/doc/83686>.

@article{Tromba1975,
author = {Tromba, A. J.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {1},
pages = {89-106},
publisher = {Scuola normale superiore},
title = {Euler-Poincaré index theory on Banach manifolds},
url = {http://eudml.org/doc/83686},
volume = {2},
year = {1975},
}

TY - JOUR
AU - Tromba, A. J.
TI - Euler-Poincaré index theory on Banach manifolds
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1975
PB - Scuola normale superiore
VL - 2
IS - 1
SP - 89
EP - 106
LA - eng
UR - http://eudml.org/doc/83686
ER -

References

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  1. [1] K.D. Elworthy - A.J. Tromba, Differential structures and Fredholm maps on Banach manifolds, Proc. Symp. on Global Analysis, Berkeley, 1968. Zbl0206.52504
  2. [2] K.D. Elworthy - A.J. Tromba, Degree iheory on Banach manifolds, Proc. Symp. on Pure Math., 18; Amer. Math. Soc., Providence, R.I., 1970. Zbl0234.58002
  3. [3] J Milnor, Topology from the Differentiable Viewpoint, Univ. of Virginia Press, Charlottesville, Va., 1965. Zbl0136.20402MR226651
  4. [4] R. Palais, Morse theory on Hilbert manifolds, Topology, 2 (1963), pp. 299-340. Zbl0122.10702MR158410
  5. [5] R. Palais, Lectures on the differential topology of infinite dimensional manifolds, Notes, Brandeis University, Waltham, Mass., 1964-65. 
  6. [6] R. Palais, On the homotopy of certain groups of operators, Topology, 3 (1965), pp. 271-279. Zbl0161.34501MR175130
  7. [7] S. Smale, An infinite dimensional version of Sard's theorem, Amer. J. Math., 87 (1965), pp. 861-866. Zbl0143.35301MR185604
  8. [8] S. Kobayashi - K. Nomizu, Foundations of Differential Geometry, Interscience. New York, 1963. Zbl0119.37502MR152974

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