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Ryukyu mathematical journal >
Vol.26 (2013) >
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| Title | : | Remarks on the homology of a regular 2-cover |
| Authors | : | Kamiyama, Yasuhiko |
| Authors alternative | : | 神山, 靖彦 |
| Issue Date | : | 28-Dec-2013 |
| Abstract | : | Let p: X→Y be a regular 2-cover. We assume that the group H_*(X;Z) are torsion free. It is easy to show that H_* (X;Z) are odd-torsion free. It is also well-known that the torsion subgroup of H_*(X;Z) has exponent 2. Several applications are also known. Since the results are scattered and somehow hidden in the literature, a survey of these researches may be useful. This is the purpose of this note. Our applications include the study of the homology of planar polygon space. |
| Type Local | : | 紀要論文 |
| ISSN | : | 1344-008X |
| Publisher | : | Department of Mathematical Science, Faculty of Science, University of the Ryukyus |
| URI | : | http://hdl.handle.net/20.500.12000/28354 |
| Citation | : | Ryukyu mathematical journal Vol.26 p.1 -13 |
| Appears in Collections | : | Vol.26 (2013)
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Files in This Item:
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| Vol26p001.pdf | | 386Kb | Adobe PDF | View/Open |
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