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关于举行杨百翰大学Gregory R. Conner 教授学术报告会的通知

发布时间:2017-04-12文章来源:浏览次数:62

目:FundamentalGroup and First Homology Group

人:GregoryR. Conner教授(百翰大学)

时间20170413日(星期四)下午16:00-17:00 

告地点:4号楼4131

 

迎广大生前往!

 

                                                                   数学学院

                                                                20170412

告摘要:

   Onewould often like to be able to check if two topological spaces areequivalent (homeomorphic).

 Historicallypeople have used invariants such as the fundamental group andhomology to tell apart nice

locallysimple spaces such as manifolds and simplicial complexes. Recently many questions have arisen in

modernmathematics concerning spaces which are locally complicated suchas attractors and boundaries.  

We discusshow, in low dimensions, that homology is very poor atdistinguishing between locally

complicatedspaces while the fundamental group is often a perfect invariant bydiscussing an interesting

menagerieof examples.