generalized Hurewicz fundamental theorem
Generalized Hurewicz Fundamental Theorem
The Hurewicz theorem
was generalized from connected CW-complexes to arbitrary topological spaces [1] and is stated as follows.
Theorem 0.1
If
for
,
, then
, where
are homotopy groups,
are homology groups, K and L are arbitrary topological spaces, and `
' denotes an isomorphism.
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- 1
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Spanier, E. H.: 1966, Algebraic Topology, McGraw Hill: New York.
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