2014/08/14 by Wojciech Chacholski, Chacholski, Wojciech, Jerome Scherer +3
Mathematics · #18A30 (Secondary) #55P35 #55P40 #55P65 (Primary) #55U35 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:18A30 #msc:55P35 #msc:55P40 #msc:55P65 #msc:55U35
paper · pdf · doi:10.48550/arxiv.1408.3252
22 pages, we took special care in this revised version in distinguishing fiber sets from single fibers, in indicating what we mean by the loop space on a possibly non-connected and unpointed space, thus smoothing the exposition
arxiv created 2016/03/10 · arxiv updated 2016/03/11
Consider a push-out diagram of spaces C <-- A --> B, construct the homotopy push-out, and then the homotopy pull-back of the diagram one gets by forgetting the initial object A. We compare the difference between A and this homotopy pull-back. This difference is measured in terms of the homotopy fibers of the original maps. Restricting our attention to the connectivity of these maps, we recover the classical Blakers-Massey Theorem.