Number of open sets for a topology with a countable basis
β 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
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π SIMILAR VOLUMES
We show under MA(Ο -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
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