Factorization of maps on limits of inverse systems in Top

Abstract

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.

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Keywords

• Factorization
• Inverse system
• Measurable cardinal
• Strongly compact cardinal