报告题目：Inverse monoids and immersions of CW-complexes
报告人：2016年11月22日（星期二）14:30—15:30
报告时间: John Meakin（Professor, University of Nebraska-Lincoln）
报告地点：苏州大学本部精正楼二楼报告厅
报告提要：It is well known that under mild conditions on a connected topological space X, connected covers of X may be classified via conjugacy classes of subgroups of the fundamental group of X. In this talk, we extend these results to the study of immersions into 2-dimensional CW-complexes. An immersion f: D→ C between CW-complexes is a cellular map such that each point y in D has a neighborhood U that is mapped homeomorphically onto f (U) by f. In order to classify immersions into a 2-dimensional CW-complex C, we need to replace the fundamental group of C by an appropriate inverse monoid. In this talk I will survey the necessary inverse monoid theory and describe the connections between closed inverse submonoids of inverse monoids and immersions between CW-complexes. Part of this work is joint with Stuart Margolis and part is joint with Nóra Szakács.