Hurewicz theorem: Difference between revisions
The property "path-connected" is essential for the Hurewicz homomorphism to be the abelianization (cf. Hatcher: Algebraic Topology, §2.A, page 167). Regard (as a counterexample) a disjoint union of two 1-SPHERES. Then \pi_1=\Z and H_1=\Z\oplus\Z. |
en>Rjwilmsi m →Rational Hurewicz theorem: Added 1 doi to a journal cite using AWB (10434) |
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Latest revision as of 17:18, 9 September 2014
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