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Transversal group topologies on non-abelian groupsDikranjan, Dikran N., 1950- ; Tkachenko, Mikhail ; Yaschenko, IvanTwo non-discrete Hausdorff group topologies ▫$\tau_1, \tau_2$▫ on a group ▫$G$▫ are called transversal if the least upper bound ▫$\tau_1 \lor \tau_2$▫ of ▫$\taut_1$▫ and ▫$t_2$▫ is the discrete ... topology. We give a complete description of the transversable locally compact groups in the case they are connected (earlier, the authors gave such a description in the abelian case). In particular, a connected Lie group is transversable if and only if its center is not compact.Vir: Topology and analysis in applications : Durban, 12-16 July 2004 (Vol. 153, iss. 17, 2006, str. 3338-3354)Vrsta gradiva - prispevek na konferenciLeto - 2006Jezik - angleškiCOBISS.SI-ID - 14100569
Avtor
Dikranjan, Dikran N., 1950- |
Tkachenko, Mikhail |
Yaschenko, Ivan
Teme
matematika |
topološke grupe |
lokalno kompaktna Abelova grupa |
centralna podgrupa |
mathematics |
topology |
transversal topology |
locally compact Abelian group |
central subgroup |
precompact |
submaximal topology |
divisible group |
free topological group |
Boolean group |
Lie group |
connected |
compact |
index of narrowness |
▫$\omega$▫-narrow
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Dikranjan, Dikran N., 1950- | 28252 |
Tkachenko, Mikhail | ![]() |
Yaschenko, Ivan | ![]() |
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