o-Boundedness of free objects over a Tychonoff space
| dc.creator | Zdomskyy, Lyubomyr | |
| dc.date | 2005-09-26 | |
| dc.date.accessioned | 2026-07-07T06:19:20Z | |
| dc.date.available | 2026-07-07T06:19:20Z | |
| dc.description | In this paper we characterize [strict] o-boundedness of the free (abelian) topological group F(X) (A(X)) as well as the free locally-convex linear topological space L(X) in terms of properties of a Tychonoff space X. These properties appear to be close to so-called selection principles, which permits us to show, that (it is consistent with ZFC that) the property of Hurewicz (Menger) is l-invariant. This gives a method of construction of OF-undetermined topological groups with strong combinatorial properties. | |
| dc.description | 20 pages; Latex2e; Submitted to Matematychni Studii | |
| dc.identifier | https://arxiv.org/abs/math/0509607 | |
| dc.identifier | http://arxiv.org/abs/math/0509607 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95036 | |
| dc.subject | General Topology | |
| dc.title | o-Boundedness of free objects over a Tychonoff space | |
| dc.type | text |