Document Type
Article
Publication Date
8-2016
Publication Title
Proceedings of the American Mathematical Society
Abstract
Which spaces occur as a classifying space for fibrations with a given fibre? We address this question in the context of rational homotopy theory. We construct an infinite family of finite complexes realized (up to rational homotopy) as classifying spaces. We also give several non-realization results, including the following: the rational homotopy types of and are not realized as the classifying space of any simply connected, rational space with finite-dimensional homotopy groups.
Repository Citation
Lupton, Gregory and Smith, Samuel Bruce, "Realizing Spaces as Classifying Spaces" (2016). Mathematics and Statistics Faculty Publications. 284.
https://engagedscholarship.csuohio.edu/scimath_facpub/284
DOI
10.1090/proc/13022
Version
Postprint
Publisher's Statement
First published in Proceedings of The American Mathematical Society in 2016, published by the American Mathematical Society.
Volume
144
Issue
8
