2004/10/05 by David Blanc, David Le Blanc, Blanc, David
Computer Science · Engineering · Mathematics · #18G30 #55P15 #55Q99.55P62 #Advanced Numerical Analysis Techniques #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT #msc:18G30 #msc:55P15 #msc:55Q99.55P62
paper · pdf · doi:10.48550/arxiv.math/0410080
25 pages
arxiv created 2004/10/05 · openalex publication_date 2004/10/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The moduli spaces refered to are topological spaces whose path components parametrize homotopy types. Such objects have been studied in two separate contexts: rational homotopy types, in the work of several authors in the late 1970's; and general homotopy types, in the work of Dwyer-Kan and their collaborators. We here explain the two approaches, and show how they may be related to each other.