We establish a criterion to decide when a countable projective limit of countable inductive limits of normed spaces is bornological. We compare the conditions occurring within our criterion with well-known abstract conditions from the context of homological algebra and with conditions arising within the investigation of weighted PLB-spaces of continuous functions.
"Bornological projective limits of inductive limits of normed spaces." Funct. Approx. Comment. Math. 44 (2) 227 - 242, June 2011. https://doi.org/10.7169/facm/1308749126