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On Group Topologies on an Abelian Group Preceding One Another
Vladimir Arnautov, Kirill Filippov
251 - 267
NATO Science Series, III: Computer and Systems Sciences
Volume 196: Computational Commutative and Non-Commutative Algebraic Geometry
Abstract

The article consists of two sections. The first one is a survey of results on lattices of module topologies issued before. The second one contains a new construction of a topology preceding the given metrizable topology in the lattice of all group topologies admitting a basis of neighbourhoods of zero consisting of subgroups on an abelian group of period p2.

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