Fibering Hilbert cube manifolds over ANRs

T. A. Chapman; Steve Ferry

Compositio Mathematica (1978)

  • Volume: 36, Issue: 1, page 7-35
  • ISSN: 0010-437X

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Chapman, T. A., and Ferry, Steve. "Fibering Hilbert cube manifolds over ANRs." Compositio Mathematica 36.1 (1978): 7-35. <http://eudml.org/doc/89360>.

@article{Chapman1978,
author = {Chapman, T. A., Ferry, Steve},
journal = {Compositio Mathematica},
keywords = {Q-manifold; Anr; fiber bundle; simple homotopy theory},
language = {eng},
number = {1},
pages = {7-35},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Fibering Hilbert cube manifolds over ANRs},
url = {http://eudml.org/doc/89360},
volume = {36},
year = {1978},
}

TY - JOUR
AU - Chapman, T. A.
AU - Ferry, Steve
TI - Fibering Hilbert cube manifolds over ANRs
JO - Compositio Mathematica
PY - 1978
PB - Sijthoff et Noordhoff International Publishers
VL - 36
IS - 1
SP - 7
EP - 35
LA - eng
KW - Q-manifold; Anr; fiber bundle; simple homotopy theory
UR - http://eudml.org/doc/89360
ER -

References

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  1. [1] D.R. Anderson: The Whitehead torsion of a fiber-homotopy equivalence. Michigan Math. J.21 (1974) 171-180. Zbl0309.57004MR343283
  2. [2] A.J. Casson: Fibrations over spheres. Topology6 (1967) 489-499. Zbl0163.45302MR217809
  3. [3] T.A. Chapman: Lectures on Hilbert cube manifolds. C.B.M.S. Regional Conf. Series in Math.28, 1976. Zbl0347.57005MR423357
  4. [4] T.A. Chapman: Concordances of Hilbert cube manifolds. T.A.M.S.219 (1976) 253-268. Zbl0332.57003MR402754
  5. [5] T.A. Chapman and R.Y.T. Wong: On homeomorphisms of infinite-dimensional bundles III. Trans. A.M.S.191 (1974) 269-276. Zbl0288.58003MR415627
  6. [6] M. Cohen: A course in simple-homotopy theory. Springer Verlag, New York, 1970. Zbl0261.57009MR362320
  7. [7] Albrecht Dold: Uber fasernweise Homotopieaquivalenz von Faserraumen. Math. Zeit.62 (1955) 111-136. Zbl0064.17403MR73986
  8. [8] Edward Fadell: On fiber homotopy equivalence. Duke Math. J. (1959) 699-706. Zbl0105.35301MR109347
  9. [9] F.T. Farrell: The obstruction to fibering a manifold over the circle. Doctoral Dissertation, Yale University, 1967. Zbl0161.20401
  10. [10] F.T. Farrell: The obstruction to fibering a manifold over the circle. Actes, Congres Intern, Math. (1970) 69-72. Zbl0231.57019MR423376
  11. [11] A.E. Hatcher: Higher simple homotopy theory. Annals of Math.102 (1975) 101-137. Zbl0305.57009MR383424
  12. [12] A.E. Hatcher and J. Wagoner: Pseudo-isotopies of compact manifolds. Asterisque6 (1973). Zbl0274.57010
  13. [13] C. Kuratowski: Sur les espaces localement connexes et péaniens en dimension n. Fund. Math.24 (1935) 269-287. Zbl0011.04002JFM61.1365.02
  14. [14] J.P. May: Classifying spaces and fibrations. Memoirs A.M.S., no. 155, 1975. Zbl0321.55033MR370579
  15. [15] J. Milnor: On spaces having the homotopy type of a CW-complex. Trans. A.M.S.90 (1959) 272-280. Zbl0084.39002MR100267
  16. [16] E.H. Spanier: Algebraic topology. McGraw-Hill Book Co., New York, 1966. Zbl0145.43303MR210112
  17. [17] James D. Stascheff: Parallel transport in fiber spaces. Bol. Soc. Mat. Mexicana11 (1966) 68-84. Zbl0173.51104MR236926

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