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the following content is provided under a Creative Commons license your support will help MIT open courseware continue to offer highquality educational resources for free to make a donation or to view additional materials from hundreds of MIT courses visit MIT open courseware at ocw.mit.edu all right uh today we have lecture guest lecture two of two by C scalak all right uh glad to be back so letamp;#39;s continue on the path we followed last time um let me remind you what we did last time first of all so I talked about uh interesting theorems in topology Nash uh sperner and Brower and I uh you know defined the corresponding so these were theorems in topology I Define the corresponding problems uh and uh because of this existing theorems the corresponding search problems were total and then I looked into the problems in NP that are total and um I tried to identify what what in these problems make them total and try to identify a combinatorial argument that guarantees the existence of