In this paper we are concerned with the four functors. 9*,. 9: iff,~, and£:-00, which map from
the category of topological spaces X to the category d'ff of n-spectra. The functor. 9*()(or. 9* 1 …

arXiv:math/0402405v1 [math.KT] 25 Feb 2004 Page 1 arXiv:math/0402405v1 [math.KT] 25
Feb 2004 The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory Wolfgang …

Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of
spaces has been recognized as the main tool for studying parametrized phenomena in the …

0. Introduction 1. Geometric preliminaries 2. Metric properties of FM 3. Leaves of small
injectivity radius 4. The transferred surgery obstruction 5. Splitting the transferred map 6 …

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 …

Haefliger proved that the isotopy classes of smooth embeddings of S j in S n form a group
provided nj> 2, with the connect-sum as multiplication. This paper starts with a new proof of …

This survey is about homotopy types of spaces of automorphisms of topological and smooth
manifolds. Most ofthe results available are relative, ie, they compare different types of …

Stability of concordance embeddings Page 1 Proceedings of the Royal Society of Edinburgh,
page 1 of 36 DOI:10.1017/prm.2023.17 Stability of concordance embeddings Thomas …

Given a closed smooth manifold M of even dimension 2 n≥ 6 with finite fundamental group,
we show that the classifying space B Diff (M) of the diffeomorphism group of M is of finite …

This manuscript is not finished. Most of it is in nearly final form, whereas Chapters 8 and 25
are still under construction. Comments are very welcome. The Isomorphism Conjectures due …