| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4657790 | Topology and its Applications | 2016 | 7 Pages |
Abstract
A topological space X is called discretely generated if for any A⊆XA⊆X and x∈A‾ there exists a discrete set D⊆AD⊆A such that x∈D‾. We solve the Problems 3.19 and 3.3 in [2]. Problem 3.19: Does the space {ξ}∪ω{ξ}∪ω embed into a box product of real lines when ξ∈βω∖ωξ∈βω∖ω? For any ξ∈βω∖ωξ∈βω∖ω, we answer negatively. Problem 3.3: Is any box product of first countable spaces discretely generated? We answer positively by assuming that the spaces are regular.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Hector Alonzo Barriga-Acosta, Fernando Hernández-Hernández,