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SUMMARY:Infinite Maker-Breaker games  - Nathan Bowler (Hamburg) 
DTSTART:20220616T133000Z
DTEND:20220616T143000Z
UID:TALK175697@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:Consider a game played on a countably infinite complete graph\
 , in\nwhich two players\, called Maker and Breaker\, alternately claim edg
 es.\nMaker's aim is that after infinitely many moves she should have claim
 ed all\nedges of some infinite complete subgraph\, and Breaker's aim is to
  prevent\nthis. Marit Emde recently found a winning strategy for Maker in 
 this game.\nWe'll investigate a number of variants of this basic game\, an
 d the kinds of\nwinning strategies Maker and Breaker have in them. 
LOCATION:MR12
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