Geodesic
Characterization of condensations of $\sigma$-compact locally compact groups and applications to invariant measures
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 2, pp. 243-248 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain necessary and sufficient conditions for existence on a topological group of a stronger $\sigma$-compact locally compact topology. An application of the obtained result for measurable topological group with an invariant measure are given. 
@article{JMAG_2003_10_2_a7,
     author = {S. S. Gabriyelyan},
     title = {Characterization of condensations of $\sigma$-compact locally compact groups and applications to invariant measures},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {243--248},
     year = {2003},
     volume = {10},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2003_10_2_a7/}
}
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S. S. Gabriyelyan. Characterization of condensations of $\sigma$-compact locally compact groups and applications to invariant measures. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 2, pp. 243-248. http://geodesic.mathdoc.fr/item/JMAG_2003_10_2_a7/