Speaker
Jean-Claude Hausmann
Description
We consider the following problem: when is a CW-space X homotopy equivalent to a CW-complex without j-cells for k<j<r ?
We show that this is equivalent to some cohomology condition together with the vanishing of an algebraic K-theory "cell-dispensability obstruction", analogous but not equal to the Wall finiteness obstruction. A similar theory holds for closed manifolds, replacing cells'' byhandles''.
