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On the second homotopy module of two-dimensional CW complexes
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dyer, Michael N. |
| Copyright Year | 1976 |
| Abstract | Let X be a connected 2-dimensional CW complex. This note reproves from a very simple point of view two classical theorems of H. Hopf relating the homology of the fundamental group yr = qr1(X) of X and the Hurewicz map on sr2(X). This point of view also allows the dual theorems to be proved. If Xr is a finite group, a new interpretation is given for Hi(si; Z) (i = 2, 3) in terms of 7T2(X). |
| Starting Page | 400 |
| Ending Page | 404 |
| Page Count | 5 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9939-1976-0410739-6 |
| Volume Number | 55 |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/1976-055-02/S0002-9939-1976-0410739-6/S0002-9939-1976-0410739-6.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |