Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516827 | Topology and its Applications | 2005 | 9 Pages |
Abstract
The κ-productivity of classes C of topological spaces closed under quotients and disjoint sums is characterized by means of Cantor spaces. The smallest infinite cardinals κ such that such classes are not κ-productive are submeasurable cardinals. It follows that if a class of topological spaces is closed under quotients, disjoint sums and countable products, it is closed under products of non-sequentially many spaces (thus under all products, if sequential cardinals do not exist).
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Miroslav Hušek,