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| Title: | A SURVEY OF WALL'S FINITENESS OBSTRUCTION |
| Authors: | Ferry, Steve
Ranicki, Andrew |
| Issue Date: | 2000 |
| Citation: | n Surveys on Surgery Theory, Vol. 2, Annals of Mathematics Studies 149, 63--80, Princeton (2001) |
| Publisher: | http://arxiv.org/abs/math.AT/0008070, |
| Abstract: | Wall's finiteness obstruction is an algebraic K-theory invariant which
decides if a finitely dominated space is homotopy equivalent to a finite
CW complex. The invariant was originally formulated in the context of
surgery on CW complexes, generalizing Swan's application of algebraic
K-theory to the study of free actions of finite groups on spheres. In the
context of surgery on manifolds, the invariant first arose as the Siebenmann
obstruction to closing a tame end of a non-compact manifold. The object
of this survey is to describe the Wall finiteness obstruction and some of
its many applications to the surgery classification of manifolds. |
| URI: | http://hdl.handle.net/1842/251 |
| Appears in Collections: | Mathematics publications
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