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| Obstruction Theory and Coincidences in Positive Codimension | |
| 引用本文： | Daciberg GONCALVES Jerzy JEZIERSKI Peter WONG. Obstruction Theory and Coincidences in Positive Codimension[J]. 数学学报(英文版), 2006, 22(5): 1591-1602. DOI: 10.1007/s10114-005-0797-9 |
| 作者姓名： | Daciberg GONCALVES Jerzy JEZIERSKI Peter WONG |
| 作者单位： | [1]Departamento de Matemdtica - Instituto de Matemdtica e Estatlstica - Universidade de Sāo Paulo, Caixa Postal 66.281 - CEP 05311-970, Sāo Paulo - SP, Brasil [2]Department of Mathematics, University of Agriculture, Nowoursynowska 166, 02766 Warszawa, Poland [3]Department of Mathematics, Bates College, Lewiston, ME 04240, USA |
| 基金项目： | This work was conducted in part during 0ctober 15-22, 2000 at the Stefan Banach International Mathematical Center at Warsaw and June 24-26, 2001 at the Mathematical Center at Bedlewo, supported by ＂Research in groups＂ grants. |
| 摘 要： | Let f, g ： X→Y be two maps between closed manifolds with dim X ≥ dim Y = n ≥ 3. We study the primary obstruction on（f, g） to deforming f and g to be coincidence free on the n-th skeleton of X. We give examples for which obstructions to deforming f and g to be coincidence free are detected by on （f, g）. |
| 关 键 词： | Nielsen数 Reidemeister数 相合理论 阻塞理论 余维数 一致性问题 |
| 收稿时间： | 2004-12-31 |
| 修稿时间： | 2004-12-312006-01-11 |
Obstruction Theory and Coincidences in Positive Codimension |
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| Daciberg Gonçalves,Jerzy Jezierski,Peter Wong. Obstruction Theory and Coincidences in Positive Codimension[J]. Acta Mathematica Sinica(English Series), 2006, 22(5): 1591-1602. DOI: 10.1007/s10114-005-0797-9 | |
| Authors: | Daciberg Gonçalves Jerzy Jezierski Peter Wong |
| Affiliation: | 1. Departamento de Matemática - Instituto de Matemática e Estatística, Universidade de S?o Paulo, 66.281, CEP 05311–970, S?o Paulo, SP, Brasil 2. Department of Mathematics, University of Agriculture, Nowoursynowska 166, 02766, Warszawa, Poland 3. Department of Mathematics, Bates College, Lewiston, ME 04240, USA |
| Abstract: | Let f, g : X → Y be two maps between closed manifolds with dim X ≥ dim Y = n ≥ 3. We study the primary obstruction o n (f, g) to deforming f and g to be coincidence free on the n–th skeleton of X. We give examples for which obstructions to deforming f and g to be coincidence free are detected by o n (f, g). This work was conducted in part during October 15–22, 2000 at the Stefan Banach International Mathematical Center at Warsaw and June 24–26, 2001 at the Mathematical Center at Bedlewo, supported by “Research in groups” grants |
| Keywords: | Nielsen number Reidemeister number coincidence theory obstruction theory |
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