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Factorization of maps on limits of inverse systems in Top

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Abstract For some productive and closed hereditary classes C in Hausdorff topological spaces a cardinal κ will be obtained such that every continuous map on a limit of an inverse… Click to show full abstract

Abstract For some productive and closed hereditary classes C in Hausdorff topological spaces a cardinal κ 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 κ. Large cardinals will be needed to get some general results.

Keywords: systems top; limits inverse; topology; factorization maps; inverse systems; maps limits

Journal Title: Topology and its Applications
Year Published: 2020

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