Tossup

If both a bijection between topological spaces and its inverse have this property, it is called a homeomorphism. (-5[1])If a function scales the distance between two points by at most a constant, it has a form of this property named for Rudolf Lipschitz. A function has this property if and only if the pre-image of any open set is itself open. On an interval [a, b] (“a b”), a function f with this property will take all values between (10[1])[read slowly] f (10[1])of a and f of b (10[1])by the intermediate value theorem. A function has this property if it equals its limit at every point. For 10 points, name this property of a function that can be defined informally as being able to draw its graph without taking the pen off the paper. ■END■ (10[1])

ANSWER: continuity [accept word forms such as continuous; accept uniformly continuous; accept uniform continuity; accept Lipschitz continuous; accept Lipschitz continuity]
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Buzzes


Summary

TournamentEditionTUHConv. %Neg %Average Buzz
UK (North)UK580%20%68.75
UK (South)UK8100%0%68.00
Northern CaliforniaUS4100%25%91.50
Southern CaliforniaUS7100%14%35.29
Eastern Canada (1)US5100%0%67.80
Eastern Canada (2)US9100%11%61.78
FloridaUS4100%0%90.25
Great LakesUS11100%9%70.45
Lower Mid-AtlanticUS9100%22%88.44
Upper Mid-AtlanticUS12100%17%88.50
MidwestUS9100%11%71.78
NorthUS4100%0%80.25
NortheastUS12100%17%77.67
PacificUS8100%0%66.75
SoutheastUS13100%8%80.31
Upstate NYUS5100%0%63.40