Hurewicz theorem: Revision history

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9 September 2014

3 March 2014

  • curprev 21:1421:14, 3 March 2014‎ 132.199.33.191 talk‎ 7,811 bytes +45‎ 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.

17 May 2013

26 April 2012

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