The theory of non-abelian gerbes or bibundle gerbes requires the notion of a bibundle. This in turn requires the notion of a bispace which is a set which has commuting left and right G transitive G actions. We consider the structure of G bibundles and their classifying theory. In particular we give examples and also explain why examples are hard to find. This is joint work with David Roberts and Danny Stevenson.
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Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/111
[4] http://www.mpim-bonn.mpg.de/webfm_send/31/1
[5] http://www.mpim-bonn.mpg.de/webfm_send/31