Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516596 | Topology and its Applications | 2005 | 9 Pages |
Abstract
We prove several facts about cellularity and κ-cellularity of λ-Lindelöf groups generated by their κ-stable subspaces. For example, if a Lindelöf group G is generated by its κ-stable subspace then κ-cellularity (and hence cellularity) of G does not exceed κ. In particular, Ï1-cellularity (and hence cellularity) of a Lindelöf group does not exceed Ï1 if this group is generated by its Ï1-Lindelöf subspace which is a P-space. For any cardinal μ with Ï<μ⩽c a Lindelöf group G is constructed which is separable (and hence has countable cellularity) while Ï-cellularity of G is equal to μ.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
D. Buhagiar, B. Pasynkov,