Back to Search
Start Over
On Cellular-Lindelöf Spaces.
- Source :
- Bulletin of the Iranian Mathematical Society; Dec2018, Vol. 44 Issue 6, p1485-1491, 7p
- Publication Year :
- 2018
-
Abstract
- In this paper, we make several observations on cellular-Lindelöf spaces. We prove that in perfect spaces, the property of being cellular-Lindelöf is equivalent to the countable chain condition. Using this result, we prove that every cellular-Lindelöf first-countable perfect space has cardinality at most c and obtain a regular example of a weakly Lindelöf non-cellular-Lindelöf space. We also prove that if X is a cellular-Lindelöf space then every discrete family of non-empty open subsets of X is countable. Finally, we prove that if X is a cellular-Lindelöf space with a symmetric g-function such that ∩{g2(n,x):n∈ω}={x} for each x∈X then |X|≤2c. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10186301
- Volume :
- 44
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Bulletin of the Iranian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 133106006
- Full Text :
- https://doi.org/10.1007/s41980-018-0102-1