 13
 (controlled projective class group) 6 27
Approximation Theorem of Ferry 73
Boundary (controlled), Boundary Theorem 8
Boundary (controlled), definition 7
Boundary (controlled), first obstruction 80 81
Boundary (controlled), second obstruction 81 82
CE-PL map 1
Collapse to the base 12
Controlled equivalence ( ) 2
Finite obstruction theory (controlled), finite domination 5
Finite obstruction theory (controlled), finite type 6
Finite obstruction theory (controlled), finiteness obstruction 30
Finite obstruction theory (controlled), Finiteness Obstruction Theorem 6
First derived limit 8 81
h-cobordism 9
h-cobordism (controlled) 10
Homotopy equivalence (controlled) 2
Induced homomorphism for controlled projective class groups 28
Induced homomorphism for controlled Whitehead groups 17
Inverse limit 8
Mapping cylinder 12
Mapping telescope 12
Mapping torus 12
Mittag-Leffler condition 8
| Nice at  9
Nice map 4
One-movable at (controlled) 7 79
Projective class group (controlled) 6 27
Proper homotopy category, homotopy 11
Proper homotopy category, homotopy equivalence 11
Proper homotopy category, map 11
Realization Theorem 60
s-Cobordism Theorem (controlled) 10 85
Simple homotopy equivalence (controlled) 2
Splitting homomorphism 43
Splitting sequence 51
Strong deformation retraction 11
Strong deformation retraction (controlled) 11
Sum Theorem for controlled finiteness obstructions 40
Sum Theorem for controlled Whitehead torsions 24
Tame at (controlled) 7
Torsion (controlled), composition formula 23
Torsion (controlled), definition of  22
Torsion (controlled), sum formula 24
Transfer homomorphism 27
Trivial map 3
West's Finiteness Theorem 74
Whitehead group  (controlled) 3 13
Whitehead torsion 22
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