Planar Convexity, Infinite Perfect Graphs and Lipschitz Continuity

Menachem Kojman
Ben Gurion University of the Negev; Member, School of Mathematics
November 16, 2010

Infinite continuous graphs emerge naturally in the geometric analysis of closed planar sets which cannot be presented as countable union of convex sets. The classification of such graphs leads in turn to properties of large classes of real functions - e.g. the class of Lipschitz continuous functions - and to meta-mathematical properties of sub-ideals of the meager ideal (the sigma-ideal generated by nowhere dense sets over a Polish space) which reduce to finite Ramsey-type relations between random graphs and perfect graphs.

Panel Discussion: Secularism and Human Rights: Basic Human Rights in History, Philosophy, Political Science, and Sociology

Moderator: Harold Shapiro, President Emeritus and Professor of Economics and Public Affairs, Princeton University
Trustee, Institute for Advanced Study
November 13, 2010

Panelists:
Didier Fassin, James D. Wolfensohn Professor, School of Social Science
Jonathan Israel, Professor, School of Historical Studies
Avishai Margalit, George F. Kennan Professor, School of Historical Studies
Joan Wallach Scott, Harold F. Linder Professor, School of Social Science