AN ANALOGUE OF KǘNNETH THEOREM IN STRONG HOMOLOGY

摘要

After defining the strong tensor product of strong (sub)chain complexes, it is shown that an analogue of the Kunneth theorem holds in strong homology by proving that the kernel (cokernel) of connecting homomorphisms is isomorphic to the direct sum of torsion (tensor) products of strong homology groups. An isomorphism between strong (r-stage) homology groups of inverse systems is also constructed.