Research output: Contribution to journal › Article › peer-review
In this paper there is proved a generalization of the results of Whitehead and Pontryagin on the homotopy classification of closed, simply connected four-manifolds. Let W and M be compact four-dimensional simply connected oriented four-manifolds. By qw is denoted the intersection index on the group H2(W). Basic Result. THEOREM (Extension). Let the groups H1(δW)and H1(δM) be finite and suppose given a homotopy equivalence f:δW→δM. In order that f can be extended to a homotopy equivalence (W,δW)→(M,δM), it is necessary and sufficient that there should exist an isomorphism Ξ, such that the diagram[Figure not available: see fulltext.] is commutative and Ξ*qm=qm.
Original language | English |
---|---|
Pages (from-to) | 109-114 |
Number of pages | 6 |
Journal | Journal of Soviet Mathematics |
Volume | 12 |
Issue number | 1 |
DOIs | |
State | Published - 1 Jul 1979 |
ID: 36968209