Hereditary natural covers and subspaces of ΣR
✍ Scribed by S. Willard; S. M. Karnik
- Book ID
- 105393225
- Publisher
- Akadmiai Kiad
- Year
- 1982
- Tongue
- English
- Weight
- 346 KB
- Volume
- 39
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let X be a space, and C be a closed cover of X consisting of metric subsets. Let X have the weak topology with respect to C in the sense of K. Morita. In terms of k-networks, we give some topological properties on X by means of the covering properties associated with the cover C.
We identify Euclidean spaces R n with the subspaces of the countable infinite product R ω . Then the set n∈N R n has two natural topologies, namely the weak topology (the direct limit) with respect to the tower R 1 ⊂ R 2 ⊂ R 3 ⊂ • • • and the relative topology inherited from the product topology of