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DESCRIPTION: Probably the most studied invariant in Topological Data Analys
 is is the homology of a space. The usual approach is to triangulate the spa
 ce and try to reduce it in order to make the computations more feasible. A 
 common reduction technique is that of collapsing. In a collapsing process w
 e perform a sequence of elementary collapses\, where at each step we delete
  a free face and the unique facet containing it. If we are able to reduce a
  complex to one of its vertices then we say it is collapsible and its homol
 ogy is trivial. Collapsibility implies that the space is contractible but t
 he converse is not always true\, probably the best known example is the Dun
 ce Hat. We are going to explore the difference between these two concepts a
 nd look for minimal examples of contractible non collapsible complexes in e
 ach dimension and how often they arise. 
DTSTAMP:20190417T155600
DTSTART:20190520T160000
CLASS:PUBLIC
LOCATION:Technische Universität Berlin\n Institut für Mathematik\n Straße d
 es 17. Juni 136\n 10623 Berlin\n Room MA 041 (Ground Floor)
SEQUENCE:0
SUMMARY:Davide Lofano (Technische Universität Berlin): Collapsible vs Contr
 actible
UID:95690807@www.facetsofcomplexity.de
URL:http://www.facetsofcomplexity.de/monday/20190520-C-Lofano.html
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