115 67 Praha 1, Zitna 25, Czech Republic (Mathematical Institute of the Czech Academy of Sciences)
Abstract: The paper is devoted to convergence of double sequences and its application to products. In a convergence space we recognize three types of double convergences and points, respectively. We give examples and describe their structure and properties. We investigate the relationship between the topological and convergence closure product of two Frechet spaces. In particular, we give a necessary and sufficient condition for the topological product of two compact Hausdorff Frechet spaces to be a Frechet space.
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