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Points and Lines in Metric Spaces

Datum a čas: 
12.05.2014 - 14:00
Místnost: 
Externí přednášející: 
Vašek Chvátal
Pracoviště externího přednášejícího: 
Concordia University, Montreal
The notion of lines in a Euclidean space can be generalized to a definition of lines in metric spaces in at least two distinct ways. The classical Sylvester-Gallai theorem of Euclidean geometry has been generalized to all metric spaces with one of the two definitions of lines; its corollary, customarily and not quite correctly referred to as a De Bruijn-Erdos theorem, has been conjectured to allow a generalization to all metric spaces with the other definition of lines.
06.05.2014 - 11:59