Source: wikibot/classifying-space-for-o-n
= Classifying space for O(n)
{wiki=Classifying_space_for_O(n)}
In topology, a classifying space for a topological group provides a way to classify principal bundles associated with that group. For the orthogonal group \\( O(n) \\), the classifying space is denoted \\( BO(n) \\). \#\#\# Understanding \\( BO(n) \\): 1. **Definition**: The classifying space \\( BO(n) \\) is defined as the space of all oriented real n-dimensional vector bundles.