Question

A space named for this mathematician is the simplest nontrivial fiber bundle of an interval over S1 (“S-one”); a quotient space description of that space is as a torus over the group action of the symmetric (-5[1])group on two letters. This mathematician names transformations of the complex plane with the form “az-plus-b (10[1])over cz-plus-d,” (10[2])as well as a function equal to zero for any number (10[1])with a squared prime factor. Attaching the edges of an Euler characteristic-zero surface named for this mathematician to itself forms the real projective plane, while joining two copies of that non-orientable surface along their boundaries creates a Klein bottle. (10[1])For 10 points, twisting a piece of paper (10[2])and gluing its ends together creates what German mathematician’s one-sided “strip”? ■END■ (10[2])

ANSWER: August Ferdinand Möbius [accept Möbius strip or Möbius band or Möbius loop or Möbius function or Möbius group or Möbius transformation]
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PlayerTeamOpponentBuzz PositionValue
Michael ZhengAmherst ABoston University B34-5
Max NealHarvard ATufts B5010
Graham LucasBowdoin BYale B5210
Yrwin BatanMIT ABrandeises Brew5210
Matthew SiffYale ANortheastern A6310
Alex JiangBrown ATufts A10210
Jack YesnerCarabrandeisYale C11010
Richard LimBowdoin ADiamond Brandeis11010
Cindy ZhouBoston University BAmherst A12210
Graham CloseBoston University AClark A12210