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Extremal topologies on groups. (English) Zbl 0989.22003
Summary: We present some new constructions of refinements of a left invariant topology on a group. On one hand these refinements are very close to the original topology of the group. On the other hand these refinements have a wide spectrum of extremal topological properties.

MSC:
22A05 Structure of general topological groups
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
54G05 Extremally disconnected spaces, \(F\)-spaces, etc.
54H11 Topological groups (topological aspects)
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