报告题目:FundamentalGroup and First Homology Group
报告人:GregoryR. Conner教授(杨百翰大学)
报告时间:2017年04月13日(星期四)下午16:00-17:00
报告地点:4号楼4131室
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数学学院
2017年04月12日
报告摘要:
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.