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math.FA2023
Tensor products of topological abelian groups and Pontryagin duality
María V. Ferrer, Julio Hernández-Arzusa, Salvador Hernández
Let be the group of all $\ZZ$-valued homomorphisms of the Baer-Specker group $\ZZ^\NN$. The group is algebraically isomorphic to $\ZZ^{(\NN)}$, the infinite direct sum of t…
math.FA2010★ 15 cited
The character of topological groups, via bounded systems, Pontryagin--van Kampen duality and pcf theory
Cristina Chis, M. Vincenta Ferrer, Salvador Hernandez +1
The Birkhoff--Kakutani Theorem asserts that a topological group is metrizable if and only if it has countable character. We develop and apply tools for the estimation of the charac…