Transfer maps for fibrations and duality

J. C. Becker; D. H. Gottlieb

Compositio Mathematica (1976)

  • Volume: 33, Issue: 2, page 107-133
  • ISSN: 0010-437X

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Becker, J. C., and Gottlieb, D. H.. "Transfer maps for fibrations and duality." Compositio Mathematica 33.2 (1976): 107-133. <http://eudml.org/doc/89300>.

@article{Becker1976,
author = {Becker, J. C., Gottlieb, D. H.},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {107-133},
publisher = {Noordhoff International Publishing},
title = {Transfer maps for fibrations and duality},
url = {http://eudml.org/doc/89300},
volume = {33},
year = {1976},
}

TY - JOUR
AU - Becker, J. C.
AU - Gottlieb, D. H.
TI - Transfer maps for fibrations and duality
JO - Compositio Mathematica
PY - 1976
PB - Noordhoff International Publishing
VL - 33
IS - 2
SP - 107
EP - 133
LA - eng
UR - http://eudml.org/doc/89300
ER -

References

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  2. [2] J.C. Becker: On the existence of Ak-structures on stable vector bundles. Topology9 (1970) 367-384. Zbl0217.49002MR266228
  3. [3] J.C. Becker, A. Casson and D.H. Gottlieb: The Lefschetz number and fiber preserving maps. Bull. Amer. Math. Soc.81 (1975) 425-427. Zbl0316.55016MR410728
  4. [4] J.C. Becker and D.H. Gottlieb: The transfer map and fiber bundles. Topology14 (1975) 1-12. Zbl0306.55017MR377873
  5. [5] J.C. Becker and D.H. Gottlieb: Applications of the evaluation map and transfer map theorems. Math. Ann.211 (1974), 277-288. Zbl0275.55027MR358772
  6. [6] G.E. BredonIntroduction to Compact Transformation Groups. Academic Press, New York, 1972. Zbl0246.57017MR413144
  7. [7] A. Casson and D.H. Gottlieb: Fibrations with compact fiber. Amer. J. Math. (to appear). Zbl0375.55015MR436144
  8. [8] A. DoldFixed point index and fixed point theorem for euclidean neighborhood retracts. Topology4 (1965) 1-8. Zbl0135.23101MR193634
  9. [9] A. DoldTransfert des points fixes d'une famille continue d'applications. C.R. Acad. Sci., Paris278 (1974) 1291-93. Zbl0275.55012MR348734
  10. [10] A. Dold and R. Thom: Quasifaserungen and unendliche symmetrische Produkte. Ann. of Math.67 (1958) 239-281. Zbl0091.37102MR97062
  11. [11] M.H. Eggar: The piecing comparison theorem. Indagationes Math. 35 (1973) 320-330. Zbl0275.55015MR328925
  12. [12] H. Hope and H. Samelson: Ein Satz über die Wirkungsräume geschlossener Liescher Gruppen. Comm. Math. Helv.13 (1940) 240-251. Zbl0025.23704MR6546JFM67.0749.01
  13. [13] I.M. James: Ex-homotopy theory-I. III. Jour. Math.15 (1971) 324-337. Zbl0225.55012
  14. [14] I.M. James: Overhomotopy theory. Symposia Math.4 (1970) 219-229. Zbl0223.55021MR275426
  15. [15] E.H. Spanier: Function spaces and duality. Ann. Math.70 (1959) 338-378. Zbl0090.12905MR107862
  16. [16] J. Stasheff: A classification theorem for fibre spaces. Topology2 (1963) 239-246. Zbl0123.39705MR154286
  17. [17] N. Steenrod: A convenient category of topological spaces. Mich. Math. J., 14 (1967) 133-152. Zbl0145.43002MR210075
  18. [18] K. Tsuchida: Generalized Puppe sequence and Spanier-Whitehead duality. Ann. Math.70 (1959) 338-378. Zbl0212.28205
  19. [19] G.W. Whitehead: Generalized homology theories. Trans. Amer. Math., Soc.102 (1962) 227-283. Zbl0124.38302MR137117

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