Obstruction Theory and Coincidences in Positive Codimension  

作　　者：Daciberg GONCALVES Jerzy JEZIERSKI Peter WONG 

机构地区：[1]Departamento de Matemática-Instituto de Matemdtica e Estatística-Universidade de Sǎo Paulo,Caixa Postal 66.281-CEP 05311-970, Sǎo 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

出　　处：《Acta Mathematica Sinica,English Series》2006年第5期1591-1602,共12页数学学报（英文版）

基　　金：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

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）.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 number Reidemeister number coincidence theory obstruction theory 

分 类 号：O186.12[理学—数学]