CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  Eventssee all events
Events        
next up previous
Next: 4)  Symplectic/Low Dimensional Topology / Up: 3)  Set Theoretic Topology / Previous: Grant Woods - Recent

Eduardo Santillan - Topological properties of removable singularities for analytic functions



EDUARDO SANTILLAN, York University, Toronto, Ontario  M3J 1P3, Canada and Cinvestav, Mexico DF
Topological properties of removable singularities for analytic functions


A closed set X of a complex manifold M is said to be a removable singularity if every analytic function defined on M-Xhas got an analytic extension to M. In his doctoral tesis, Shiffman proved a partial characterisation of the removable singularities by using the Hausdorff measure. Moreover, in 1994, professors Chirca, Stout and Lupacciolu showed more results which are completely independet of those of Shiffman; they used the cover dimension. The actual challenge is to improve that results to characterise the removable singularities by using just topological properties.



 

© Canadian Mathematical Society, 2017 : https://cms.math.ca/