Abstract
In this paper we extend previous studies of selection principles for families of open covers of sets of real numbers to also include families of countable Borel covers. The main results of the paper could be summarized as follows: (1)Some of the classes which were different for open covers are equal for Borel covers-Section 1. (2)Some Borel classes coincide with classes that have been studied under a different guise by other authors-Section 4.
| Original language | English |
|---|---|
| Pages (from-to) | 357-382 |
| Number of pages | 26 |
| Journal | Topology and its Applications |
| Volume | 121 |
| Issue number | 3 |
| DOIs | |
| State | Published - 30 Jun 2002 |
Bibliographical note
Funding Information:*Corresponding author. Supported by NSF grant DMS 9971282. E-mail addresses: [email protected] (M. Scheepers), [email protected] (B. Tsaban). URL address: http://www.cs.biu.ac.il/~tsaban (B. Tsaban).
Funding
*Corresponding author. Supported by NSF grant DMS 9971282. E-mail addresses: [email protected] (M. Scheepers), [email protected] (B. Tsaban). URL address: http://www.cs.biu.ac.il/~tsaban (B. Tsaban).
| Funders | Funder number |
|---|---|
| National Science Foundation | DMS 9971282 |
| Directorate for Mathematical and Physical Sciences | 9971282 |
Keywords
- Borel covers
- Gerlits-Nagy
- Lusin set
- Property γ-sets
- Rothberger property C″
- Selection principles
- Sierpiński set
- γ-cover
- ω-cover