Extremal topologies on groups. (English) Zbl 0989.22003

Protasov, I. V.

Mat. Stud. 15, No. 1, 9-22 (2001).

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