Normal invariants and G/O (Ex)
(Difference between revisions)
Diarmuid Crowley (Talk | contribs)
(Created page with "<wikitex>; The aim of these exercises is to follow the proof of {{citeD|Lück2001|Theorem 3.45}}. Given the map $BO\stackrel{BJ}\to{BG}$, define $G/O$ to be the homotopy fibr...")
Newer edit →
(Created page with "<wikitex>; The aim of these exercises is to follow the proof of {{citeD|Lück2001|Theorem 3.45}}. Given the map $BO\stackrel{BJ}\to{BG}$, define $G/O$ to be the homotopy fibr...")
Newer edit →
Revision as of 08:54, 27 March 2012
The aim of these exercises is to follow the proof of [Lück2001, Theorem 3.45].
Given the map , define to be the homotopy fibre of :
Tex syntax error
In [Lück2001, p 61] there is defined a group of stable fibre homotopy trivialisations of smooth vector bundles over a space which is denoted .
Exercise 0.1. Show that for any space there is a bijection