2022/05/24 by Kihara, Hiroshi
#18F15 (Primary) #58A40 (Secondary) #Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2205.11943
We formulate and study the notion of d-skeletal diffeology, which generalizes that of wire diffeology, introducing the dual notion of d-coskeletal diffeology. We first show that paracompact finite-dimensional C^∞-manifolds Md with d-skeletal diffeology inherit good topologies and smooth paracompactness from M. We then study the pathology of Md. Above all, we prove the following: For d