nLab
Fundamental Bigroupoids and 2-Covering Spaces

• David Roberts, Fundamental Bigroupoids and 2-Covering Spaces (pdf)

This PhD thesis is about a special case of the notion of Whitehead tower in an (∞,1)-topos in the context of the (∞,1)-topos of topological ∞-groupoids. Notably it introduces the notion of a 2-covering space of a topological space as a certain topological groupoid over that space.

An exposition of central ideas can be found in the slides

• David Roberts 2-Covering spaces - talk at the 2009 Annual Meeting of the Australian Mathematical Society, at the University of South Australia, 30 September 2009 (slides)

For more details see

Whitehead tower -- For topological ∞-groupoids

category: reference