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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)
##### Keywords:
topology; group; refinements