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We study various degrees of completeness for a Tychonoff space X. One of them plays a central role, namely X is called a Conway space if X is sequentially closed in its Stone–?ech compactification ? X (a prominent example of Conway spaces is pro[...]texto impreso
We equip the product of countably many copies of a compact Abelian group X with the uniform topology, and study some properties of the topological group G thus obtained. In particular, we determine the cardinality of the dual group of G, when X [...]texto impreso
For a topological abelian group X we topologize the group c0(X) of all X-valued null sequences in a way such that when X= the topology of c0() coincides with the usual Banach space topology of the classical Banach space c0. If X is a non-trivial[...]texto impreso
For a locally quasi-convex topological abelian group (G, ?), we study the poset C (G, ?) of all locally quasi-convex topologies on G that are compatible with ? (i.e., have the same dual as (G, ?)) ordered by inclusion. Obviously, this poset has [...]texto impreso
The Pontryagin duality theorem for locally compact abelian groups (briefly, LCA groups) has been the starting point for many different routes of research in Mathematics. From its appearance there was a big interest to extend it in a context broa[...]
