Small large subgroups of a topological group


Abstract


This paper presents the following general structure theorem for topological groups. Let G be a topological group of density \kappa, for any cardinal \kappa. Then each neighbourhood of the identity in G contains a subgroup of index less than or equal to \kappa<sup>\aleph</sup><sub>0</sub>.

DOI Code: 10.1285/i15900932v14n2p161

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