# 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

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topFarrell, F. T., Taylor, L. R., and Wagoner, J. B.. "The whitehead theorem in the proper category." Compositio Mathematica 27.1 (1973): 1-23. <http://eudml.org/doc/89175>.

@article{Farrell1973,

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 = {http://eudml.org/doc/89175},

volume = {27},

year = {1973},

}

TY - JOUR

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 - http://eudml.org/doc/89175

ER -

## References

top- 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.
- P.J. Hilton [2] An introduction to homotopy theory, Cambridge University Press, Cambridge Tracts in Mathematics and Mathematical Physics. No. 43. Zbl0051.40302MR56289
- S.P. Novikov [3] Homotopic and topological invariance of certain rational classes of Pontryagin, Doklady1965, Tom 162, No. 6. Zbl0146.19503MR180989
- L.C. Siebenmann [4] Thesis, Princeton University (1965).
- L.C. Siebenmann [5] Infinite simple homotopy types, Indag. Nath.32, No. 5, 1970. Zbl0203.56002MR287542
- E.H. Spanier [6] Algebraic Topology, McGraw-Hill (1966). Zbl0145.43303MR210112
- L.R. Taylor [7] Surgery on paracompact manifolds, thesis, University of California atBerkeley, 1971.
- 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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