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

ANSWER: August Ferdinand Möbius [accept Möbius strip or Möbius band or Möbius loop or Möbius function or Möbius group or Möbius transformation]
<Other Science>
= Average correct buzz position

Back to tossups

Buzzes

PlayerTeamOpponentBuzz PositionValue
Geoffrey WuColumbia AHaverford A4610
Teigue KellyPenn State APrinceton A7510
Maximilian NieburJohns Hopkins BRutgers C9410
Vishal KanigicherlaPenn ABard A10210
Olin BoseColumbia BLehigh A10510
Alex WongRutgers ARowan A11010

Summary