𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Weak topology of an associated space and t-equivalence

✍ Scribed by O. G. Okunev

Publisher
SP MAIK Nauka/Interperiodica
Year
1989
Tongue
English
Weight
421 KB
Volume
46
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Absolute Souslin-F spaces and other weak
Absolute Souslin-F spaces and other weak-invariants of the norm topology
✍ Roger W. Hansell πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 101 KB

Let h : (A, weak) β†’ (B, weak) be a homeomorphism where A and B are arbitrary subsets of (possibly different) Banach spaces. Then any property that holds for (B, norm) whenever it holds for (A, norm) is said to be a weak-invariant of the norm topology. We show that, relative to the norm topologies on

K-networks, and spaces having the weak t
K-networks, and spaces having the weak topology with respect to closed covers of metric subspaces
✍ Yoshio Tanaka πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 870 KB

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.