The whitehead theorem in the proper category
Compositio Mathematica, Tome 27 (1973) no. 1, pp. 1-23. 
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Farrell, F. T.; Taylor, L. R.; Wagoner, J. B. The whitehead theorem in the proper category. Compositio Mathematica, Tome 27 (1973) no. 1, pp. 1-23. http://www.numdam.org/item/CM_1973__27_1_1_0/

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. | MR | Zbl

S.P. Novikov [3] Homotopic and topological invariance of certain rational classes of Pontryagin, Doklady 1965, Tom 162, No. 6. | MR | Zbl

L.C. Siebenmann [4] Thesis, Princeton University (1965).

L.C. Siebenmann [5] Infinite simple homotopy types, Indag. Nath. 32, No. 5, 1970. | MR | Zbl

E.H. Spanier [6] Algebraic Topology, McGraw-Hill (1966). | MR | Zbl

L.R. Taylor [7] Surgery on paracompact manifolds, thesis, University of California at Berkeley, 1971.

J.H.C. Whitehead [8] Combinatorial Homotopy I and II, Bull. Amer. Math. Soc. 55, 3 and 5 (1949). | MR | Zbl