A Klein surface is, as for Riemann surfaces, a surface with an atlas allowing the transition functions to be composed using complex conjugation. One can obtain the so called dianalytic structure of the space.
Read more about this topic: Klein Bottle
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“In Manhattan, every flat surface is a potential stage and every inattentive waiter an unemployed, possibly unemployable, actor.”
—Quentin Crisp (b. 1908)