Re: universal covering of Grassmann

Many thanks for the answers!

I was asking this question because I wanted to locally turn Grassmann into something "simpler". Unfortunately the universal cover trick just turns Grassmann into oriented Grassmann, and this does not help me much.

I've made another post with a question that specifies better what I am looking for.

Z.

On 04/08/06 22:00, Zenobe Odilon wrote:
Hi,

Does anyone know what the universal covering of the Grassmann manifold is?

(According to http://en.wikipedia.org/wiki/Universal_cover, the space X has a universal cover if and only if it is path-connected, locally path-connected and semi-locally simply connected. I think that the Grassmann manifold has all these properties.)

Z.
.