The whitehead theorem in the proper category

F. T. Farrell; L. R. Taylor; J. B. Wagoner

Compositio Mathematica (1973)

  • Volume: 27, Issue: 1, page 1-23
  • ISSN: 0010-437X

How to cite


Farrell, F. T., Taylor, L. R., and Wagoner, J. B.. "The whitehead theorem in the proper category." Compositio Mathematica 27.1 (1973): 1-23. <>.

author = {Farrell, F. T., Taylor, L. R., Wagoner, J. B.},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {1-23},
publisher = {Noordhoff International Publishing},
title = {The whitehead theorem in the proper category},
url = {},
volume = {27},
year = {1973},

AU - Farrell, F. T.
AU - Taylor, L. R.
AU - Wagoner, J. B.
TI - The whitehead theorem in the proper category
JO - Compositio Mathematica
PY - 1973
PB - Noordhoff International Publishing
VL - 27
IS - 1
SP - 1
EP - 23
LA - eng
UR -
ER -


  1. F.T. Farrell and J.B. Wagoner [1] An algebraic criterion for a map to be a proper homotopy equivalence, Notices A. M. S., Nov. 1969. 
  2. P.J. Hilton [2] An introduction to homotopy theory, Cambridge University Press, Cambridge Tracts in Mathematics and Mathematical Physics. No. 43. Zbl0051.40302MR56289
  3. S.P. Novikov [3] Homotopic and topological invariance of certain rational classes of Pontryagin, Doklady1965, Tom 162, No. 6. Zbl0146.19503MR180989
  4. L.C. Siebenmann [4] Thesis, Princeton University (1965). 
  5. L.C. Siebenmann [5] Infinite simple homotopy types, Indag. Nath.32, No. 5, 1970. Zbl0203.56002MR287542
  6. E.H. Spanier [6] Algebraic Topology, McGraw-Hill (1966). Zbl0145.43303MR210112
  7. L.R. Taylor [7] Surgery on paracompact manifolds, thesis, University of California atBerkeley, 1971. 
  8. J.H.C. Whitehead [8] Combinatorial Homotopy I and II, Bull. Amer. Math. Soc.55, 3 and 5 (1949). Zbl0040.38801MR30759

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