Digitale Medien
Springer
Manuscripta mathematica
14 (1974), S. 207-216
ISSN:
1432-1785
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract Group topologies of countable groups are constructed. They form a dense subset of the lattice of all group topologies. Every such group topology induces an injective mapping from the set of all filters of the natural numbers, which are finer than the filter of those sets of natural numbers having finite complements, into the lattice of group topologies. A sufficient condition is given, which groups can be topologized. It is shown, that every group can be topologized by a non-linear group topology, if it can be topologized by a group topology.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01171406
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