PRO-TORSION PRODUCTS AND ČECH HOMOLOGY GROUPS

  • LEE, HONG-JAE (Dept. of Mathematics, Chonbuk National University) ;
  • LEE, DAE-WOONG (Dept. of Mathematics, Chonbuk National University)
  • Received : 1998.03.02
  • Published : 1998.07.30

Abstract

We find some properties of the pro-torsion products. Under the suitable conditions, we also show that the map ${\bar{H}}_P({\chi};G){\rightarrow}{\bar{H}}_p^{s(r)}({\chi};G)$ is an isomorphism and the n-th homotopy group of X is isomorphic to the n-th ${\check{C}}ECH$ homology group.

Keywords

References

  1. Introcuction to homological algebra Hu, S.Z.
  2. Bulletin of the Korean Math. Soc. Derived cup product and (strictly) derived groups Lee, D.W.
  3. Honam Math. Jour. v.18 no.1 On the strong homology groups Lee, H.J.;Lee, D.W.
  4. Topology and its Appl. v.19 Strong Homology of inverse system of spaces I, II Lisica, J.T.;Mardesic, S.
  5. Topology v.35 Nonvanishing derived limits in shape theory Mardesic, S.
  6. Shape theory Mardesic, S.;Segal, J.
  7. Jour. of Pure and Appl. Algebra v.103 Some questions about the first derived functor of the inverse limit McGibbon, C.A.;Steiner, R.
  8. Topology v.1 Uber die derivierten des inversen und des derekten limes einer modulefamile Nobeling, G.
  9. Top. and its Appl. v.75 Equivalence of coherent theories Shekutkovski, N.