2019/04/30 by Nguemo, Miradain Atontsa
#18D50 #18G55 #55P65 (Primary) #55U15 (Secondary) #55U35 #Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.1904.13100
The goal of this paper is to furnish a literature on Goodwillie calculus for functors defined between categories which derive from chain complexes over a ground field \Bbbk. We characterize homogeneous functors F: C \longrightarrow D where C ,D= Ch (chain complexes), Ch+(non-negatively graded chain complexes) or AlgO (algebras over a chain complex operad O). In the particular case when D= AlgO, our characterization requires \Bbbk to be of characteristics 0. We are then extending the results of Walter \citeWalt06 who studied in characteristics 0 the chain complex cases and when O is the Lie operad.