Abstract:

We complete the definition of elementary anodyne extensions by defining the class of fundamental geometric anodyne extensions and describe a key example: a section of a vector bundle over a k-space. We describe the cofibrant objects and prove that the naive A^1-homotopy equivalences are weak equivalences. Finally, we give a technical result for elementary anodyne extensions and, if time permits, we will give an outline of the proof.

Further details: http://userpage.fu-berlin.de/hoskins/seminar.html [userpage.fu-berlin.de]