An analogue of Künneth theorem in strong homology (Q1599843)

Given an inverse system of chain complexes, \textit{Y. T. Lisitsa} and \textit{S. Mardešić} [Topology Appl. 19, 29-64 (1985; Zbl 0559.55008)] introduced the associated strong homology. Various authors have elaborated properties of strong homology, obtaining a universal coefficient theorem [\textit{S. Mardešić} and \textit{A. V. Prasolov}, ibid. 82, No. 1-3, 327-354 (1998; Zbl 0897.55002)]. In this paper, the author establishes a Künneth short exact sequence for the homology groups of the tensor product of two strong chain complexes in terms of torsion groups and tensor products of the strong homologies of these chain complexes.