Name
Abstract | ||
|---|---|---|
We prove that if an ultrafilter $${\mathcal{L}}$$ is not coherent to a Q-point, then each analytic non-σ-bounded topological group G admits an increasing chain $${\langle G_\alpha:\alpha i) $${\bigcup_{\alpha}G_\alpha=G}$$; and (ii) For every σ-bounded subgroup H of G there exists α such that $${H\subset G_\alpha}$$. In case of the group Sym(ω) of all permutations of ω with the topology inherited from ωω this improves upon earlier results of S. Thomas. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s00153-010-0222-7 | Arch. Math. Log. |
Keywords | Field | DocType |
langle g,f-menger property.,. q-point,increasing chain,subset g,bounded subgroup h,analytic non,menger prop- erty,bounded topological group,group sym,proper subgroup,æ-bounded group,alpha i,!-bounded group,p•-point,s. thomas,earlier result,topological group | Discrete mathematics,Combinatorics,Permutation,Ultrafilter,Mathematics,Topological group | Journal |
Volume | Issue | ISSN |
50 | 3-4 | 1432-0665 |
Citations | PageRank | References |
0 | 0.34 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Taras O. Banakh | 1 | 9 | 7.24 |
| Dusan Repovš | 2 | 21 | 11.09 |
| Lyubomyr Zdomskyy | 3 | 23 | 6.72 |