Factorization of maps on limits of inverse systems in Top

摘要

For some productive and closed hereditary classes C in Hausdorff topological spaces a cardinal kappa will be obtained such that every continuous map on a limit of an inverse system in C into a given space can be factorized via a limit of a subsystem of cardinality less than kappa. Large cardinals will be needed to get some general results. (C) 2020 Elsevier B.V. All rights reserved.