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Productivity numbers in paratopological groups

Publication at Faculty of Mathematics and Physics |
2015

Abstract

Preserving products in some subcategories of paratopological groups is investigated. N.

Noble proved in [6] that a product of sequential topological groups is sequential provided the cardinality of the index set of the product is a non-sequential cardinal. We shall generalize that result not only to paratopological groups but to any bicoreflective subcategory of epireflective subcategories of paratopological groups.