6533b873fe1ef96bd12d4904
RESEARCH PRODUCT
Increasing chains and discrete reflection of cardinality
Santi Domenico Spadarosubject
Arhangel’skii TheoremDiscrete setstrongly discretely LindelofSettore MAT/03 - Geometriafree sequenceelementary submodeldescription
Combining ideas from two of our previous papers, we refine Arhangel'skii Theorem by proving a cardinal inequality of which this is a special case: any increasing union of strongly discretely Lindelof spaces with countable free sequences and countable pseudocharacter has cardinality at most continuum. We then give a partial positive answer to a problem of Alan Dow on reflection of cardinality by closures of discrete sets.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 |