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Metrizability of sequential topological groups with point-countable -networks

Authors:	Alexander Shibakov

Affiliation:	Department of Mathematics, Auburn University, Auburn University, Alabama 36849

Abstract:	We prove that a Hausdorff sequential topological group with a point-countable -network is metrizable iff its sequential order is less than $omega _{1}$ . In the non Hausdorff case metrizability may be replaced by -locally finite base.

Keywords:	Topological group sequential space sequential order Fr'{e}chet space $k$-network

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