Topologist's sine curve
Pathological topological space
Topologist's sine curve
In the branch of mathematics known as topology, the topologist's sine curve or Warsaw sine curve is a topological space with several interesting properties that make it an important textbook example. It can be defined as the graph of the function sin 1 x {\displaystyle \sin {\tfrac {1}{x}}} on the half-open interval ( 0 , 1 ] {\displaystyle (0,1]} , together with the origin, under the topology induced from the Euclidean plane: T = { ( x , sin 1 x...
Read on Wikipedia · Image Morn the Gorn, CC BY-SA 3.0
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