Name
Abstract | ||
|---|---|---|
In this paper we discuss what kind of constrains combinatorial covering properties of Menger, Scheepers, and Hurewicz impose on remainders of topological groups. For instance, we show that such a remainder is Hurewicz if and only it is $$\\sigma $$ź-compact. Also, the existence of a Scheepers non-$$\\sigma $$ź-compact remainder of a topological group follows from CH and yields a P-point, and hence is independent of ZFC. We also make an attempt to prove a dichotomy for the Menger property of remainders of topological groups in the style of Arhangel'skii. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1007/s00153-016-0493-8 | Arch. Math. Log. |
Keywords | Field | DocType |
Remainder, Topological group, Menger space, Hurewicz space, Scheepers space, Ultrafilter, Forcing, Primary 03E75, 54D40, 54D20, Secondary 03E35, 54D30, 54D80 | Discrete mathematics,Topology,Mathematical analysis,Remainder,Menger's theorem,Mathematics,Topological group | Journal |
Volume | Issue | ISSN |
55 | 5-6 | 1432-0665 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| angelo bella | 1 | 0 | 0.34 |
| secil tokgoz | 2 | 0 | 0.34 |
| Lyubomyr Zdomskyy | 3 | 23 | 6.72 |