2024/12/12 by Neil Strickland, Strickland, Neil · 1 citation
Engineering · #55P60 #Advanced Numerical Analysis Techniques #Algebraic Topology (math.AT) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2412.09361
openalex publication_date 2024/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is an exposition of facts about p-local spectra, p-complete spectra and modules over the p-complete sphere spectrum, including homological criteria for finiteness. Most things are well-known to the experts, with a couple of potential exceptions: every dualisable p-complete spectrum is the p-completion of a finite spectrum, and the category of modules over the p-complete sphere has homological Brown representability.