Since Poincaré's time, topologists have been most concerned with three species of manifold.
The most primitive of these--the TOP manifolds--remained rather mysterious until 1968 …

Let~(X) be the (stable, smooth) pseudoisotopy space of the space X. For any map f: Y--* X of
spaces, we identify the homotopy type of the fiber of~(f):~(Y)--*(X) in a stable range, roughly …

This paper is concerned with a functor A (X), from spaces to spaces, which is in some ways
analogous to the algebraic K-theory functor K (R) which goes from rings to spaces. The two …

The ends of a topological space are the directions in which it becomes noncompact by
tending to infinity. The tame ends of manifolds are particularly interesting, both for their own …

While much is now known, through surgery theory, about the classification problem for
manifolds of dimension at least five, information about the automorphism groups of such …

A parametrized index theorem for the algebraic <Emphasis Type="Italic">K </Emphasis>-theory
Euler class Page 1 Acta Math., 190 (2003), 1 104 (~) 2003 by Institut Mittag-Leffier. All rights …

We study the rational homotopy types of classifying spaces of automorphism groups of
smooth simply connected manifolds of dimension at least five. We give differential graded …

Such a manifold description is of interest for several reasons. Most im-DIFF portantly one
can now define a map A (X) Wh (X) and this map again turns out to have the property that its …

We obtain multirelative connectivity statements about spaces of smooth embeddings,
deducing these from a similar result about spaces of Poincaré embeddings that was …

Let X be a closed oriented connected topological manifold of dimension n≥ 5. The structure
group is the abelian group of equivalence classes of all pairs (f, M) such that M is a closed …