By Anthony Bak (auth.), Ib H. Madsen, Robert A. Oliver (eds.)
Read or Download Algebraic Topology Aarhus 1982: Proceedings of a conference held in Aarhus, Denmark, August 1–7, 1982 PDF
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Extra resources for Algebraic Topology Aarhus 1982: Proceedings of a conference held in Aarhus, Denmark, August 1–7, 1982
Preprint, [FI] On the Swan subgroup of certain Ian H a m b l e t o n one Verlag abelscher Zahlk6rper. 1952. and Ib Madsen: fixed point. Semifree Preprint, actions on Aarhus IRn with Universitet (1982). [Mi] J. C. Wall: Bull. Soc. 72 358-426. Periodic Proc. torsion. projective London Math. Soc. resolutions. 39 (1979) 509-553. THE R A T I O N A L H O M O T O P Y TYPE OF ~whDiff(*). Marcel BSkstedt Let whDiff(*) be the double d e l o o p i n g of the smooth stable c o n c o r d a n c e s p a c e of a point.
Farrell I. C. Hsiang (2) Introduction and Statement of Results. e. a c o n n e c t e d Lie g r o u p w h i c h admits a faithful r e p r e s e n t a t i o n into c o m p a c t s u b g r o u p of Suppose that FOG G, then GL (~) n for some integer X = K~G n. If K is a maximal is d i f f e o m o r p h i c to the E u c l i d e a n space n. is a torsion-free descrete subgroup such that the double coset space M n = X/F = K \ G / F is a c l o s e d K(F,I)). , an aspherical m a n i f o l d of the h o m o t o p y type of is semi-simple, then X/F is a locally symmetric space with non- p o s i t i v e sectional curvature and the so-called N o v i k o v conjecture was v e r i f i e d in [I0].
Published map as is an infinite we c a n induces SG + QS 0 "multiplication write ~: B S G is the loopBSG of t h i s ~ *. At very respectively Igusa The nullhomotopy of the unpublished = inclusion of of w r i t i n g , theorem. proofs, there is no However, there due to W a l d h a u - . 3(i ii), r3: is 2 - t o r s i o n , to in an e s s e n t i a l In o t h e r diagram: QS 0 ~A(*)~K(Z) BSG ~ K(Z). r2 is h o m o t o p i c even this to the c o m p o s i t e r 3. way words, also implies r I ~ r 3.