THE WORK OF C.T.C.WALL IN TOPOLOGY ANDREW RANICKI 90+ pap - PDF document

THE WORK OF C.T.C.WALL IN TOPOLOGY ANDREW RANICKI • 90+ pap ers, 2+ b o oks • T opics covered: cob o rdism groups, Steenro d algeb ra, homological algeb ra, manifolds of dimensions 3,4, ≥ 5, quadratic fo rms, �niteness obstruction, emb eddings, bundles, P oinca r � e complexes, surgery obstruction theo ry , homology of groups, 2-dimensional complexes, top ological space fo rm p roblem, computations of K - and L -groups, . . . • MR 57Q12 W all �niteness obstruction fo r CW-complexes • MR 57R67 Surgery obstructions, W all groups 1

W all's manifold classi�cations 1. All manifolds at once cob o rdism (1959-1961) { 2. One manifold at a time di�eomo rphism (1962-1966) { 3. Within a homotop y t yp e surgery (1967-1977) { 2