Title of article :
τ-locally invariant groups
Author/Authors :
E.A. and Sipacheva، نويسنده , , Olga V.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2000
Abstract :
A class of τ-locally invariant topological groups is introduced; this class is a new one for τ a limit cardinal, and it coincides with Arhangelʹskiı̆ʹs class of λ-balanced groups for τ=λ+. It is proved that a topological group is τ-locally invariant if and only if this group is topologically isomorphic to a subgroup of a direct product of groups of topological character less than τ. Topological spaces whose free topological groups are τ-locally invariant are described.
Keywords :
?-locally invariant group , ?-balanced group , Free topological group , Subgroups of products of topological groups of character < , ?
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications