𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Number of open sets for a topology with a countable basis

✍ Scribed by Saharon Shelah


Book ID
112892156
Publisher
The Hebrew University Magnes Press
Year
1993
Tongue
English
Weight
231 KB
Volume
83
Category
Article
ISSN
0021-2172

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the number of countably compact group
✍ Artur Hideyuki Tomita πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 88 KB

We show under MA(Οƒ -centered) the existence of at least (2 Ο‰ ) + non-homeomorphic topological group topologies on the free Abelian group of size 2 Ο‰ which make it countably compact and separable. In particular, under GCH the maximum possible number of such topologies is attained. As a corollary, we

A topology for the sets of shape morphis
✍ E. Cuchillo-IbÑñez; M.A. MorΓ³n; F.R. Ruiz del Portal; J.M.R. Sanjurjo πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 92 KB

We introduce a topology on the set of shape morphisms between arbitrary topological spaces X, Y , Sh(X, Y ). These spaces allow us to extend, in a natural way, some classical concepts to the realm of topological spaces. Several applications are given to obtain relations between shape theory and N-co