Want to take part in these discussions? Sign in if you have an account, or apply for one below
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
added pointer to
added these pointers:
John Baez, Danny Stevenson, The Classifying Space of a Topological 2-Group, In: Baas N., Friedlander E., Jahren B., Østvær P. (eds.) )Algebraic Topology_. Abel Symposia, vol 4. Springer, Berlin, Heidelberg. (arXiv:0801.3843, doi:10.1007/978-3-642-01200-6_1)
Danny Stevenson, Classifying theory for simplicial parametrized groups (arXiv:1203.2461)
added pointer to
For citation purposes, what’s a good (textbook) account that makes explicit both the concept of non-abelian cohomology and its representation by classifying spaces (under suitable conditions)
I am asking, because the literature on “non-abelian cohomology” tends to jump to arcane properties before ever saying clearly what the (simple) main structure of the general theory actually is. As a result, it is hard to tell a reader “see reference XYZ”, because if they don’t already know about the topic, they might not even recognize that XYZ is about this topic.
The article Roberts-Stevenson 12 above stands out in this respect, as it does state these general principle on the first three pages, even if not quite in an expository way.
But ignoring higher groups and stuff, just focusing on the ancient theory. What’s your preferred textbook(-style) reference that makes clear that non-abelian cohomology is a thing and that its ultimately about maps into classifying spaces?
added pointer to
added pointer to
added pointer to
added publication data to:
added publication details to:
added pointer to
(since unstable operations on stable cohomology is really operations on their image in non-abelian cohomology)
1 to 12 of 12