Bigroupoid 2-torsors

これは、Igor Bakovicの2007年の学位論文。次に言及がある。

• http://golem.ph.utexas.edu/category/2006/10/bakovic_on_2groupoid_2torsors.html
• http://golem.ph.utexas.edu/category/2008/11/bakovi_on_bigroupoid_bitorsors.html

PDFは次から入手可能。135ページ。

• http://edoc.ub.uni-muenchen.de/9209/
• http://www.irb.hr/korisnici/ibakovic/2torsbig.pdf

目次：

I Introduction 7
 1 The introduction 8
II One-dimensional theory 23
 2 Simplicial objects 24
 3 Internal categories and internal groupoids 33
 4 Nerves of categories 37
 5 Actions of categories and groupoids 40
 6 Small fibrations 49
III Two-dimensional theory 54
 7 Bicategories 55
 8 Nerves of bicategories 70
 9 Internal bicategories 72
 10 Pseudosimplicial categories 82
 11 Small 2-￣brations 86
 12 The second nonabelian cohomology 97
 13 Actions of bicategories 105
 14 Bigroupoid 2-torsors 115
 15 Simplicial interpretation of bigroupoid 2-torsors 121
IV The bibliography and biographical data 128

つまみ食いすると、単体的手法、神経、内部高次圏とかのアイディアが少しは分かるかも。