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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
##### Keywords:
topological group; productivity; coreflective class
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