Homology fibrations and "group-completion" revisited
Wolfgang Pitsch, Jerome Scherer
Abstract
We give a proof of the Jardine-Tillmann generalized group completion theorem. It is much in the spirit of the original homology fibration approach by McDuff and Segal, but follows a modern treatment of homotopy colimits, using as little simplicial technology as possible. We compare simplicial and topological definitions of homology fibrations.
Create a lesson
Related papers
Constructive Bounds for the Topological Expressivity of Neural Networks
Kosio Beshkov
The (right) homotopy between two A∞-morphisms
Mattia Ornaghi
Reconstruction of graphs and surfaces from derived categories
Oscar Harr
Critical Point Theory for the Distance Function on PL-Spaces
Dirk Siersma
Derived plethystic algebra
Benjamin Antieau, Edith Hübner, Dmitry Kubrak et al.
The first homology of square-section braid groups
Minh Pham, Nicholas Wawrykow, Jacob Zweiback