Coreflectively modified continuous duality applied to classical product theorems
Keywords:Product topology and product maps, Quotient, Sequential, Convergence
AbstractSeveral (old and new) results on stability of quotients (of various types) under product, on sequentiality of product of sequential spaces, on relationships between a topology and the upper Kuratowski convergence on its closed sets are derived from a general mechanism of duality that uses the continuous convergence lead to new reflectors which are of fundamental interest in this quest.
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