Salvador Hernández

Tensor products of topological abelian groups and Pontryagin duality

We discuss the existence of tensor product for several classes of topological abelian groups. As an application, we we investigate the reflexivity properties of C_p(X,\mathbb Z), the group of all \mathbb Z-valued continuous functions on X equipped with the pointwise convergence topology, and A_p(X), the free abelian group on a 0-dimensional space X equipped with the topology t_p(C(X,\mathbb Z)) of pointwise convergence on C(X,\mathbb Z). 

Based on a joint work with María V. Ferrer and Julio Hernández-Arzusa