Institute of Information Theory and Automation

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Points and Lines in Metric Spaces

2014-05-12 14:00
Name of External Lecturer: 
Vašek Chvátal
Affiliation of External Lecturer: 
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.
vomlel: 2014-05-06 11:59