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Productivity of coreflective classes of topological groups. (English) Zbl 1009.54041
There is studied an extent in which coreflective subcategories of the category \(TopGr\) of topological groups are closed under products. For example, a bicoreflective subcategory \(K\) of \(TopGr\) is either closed under all products or there exists a submeasurable cardinal \(\kappa \) such that \(K\) is closed under products of less than \(\kappa \) objects but not under products of \(\kappa \) objects.

MSC:
54H11 Topological groups (topological aspects)
54B10 Product spaces in general topology
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