Prove that the deleted diameter plane is locally connected and path-connected.
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Well, let's define a "deleted diameter circle" to be a circle in R^2 without a finite number of diameters (can be 0... ) but it still contains its center...The deleted diameter plane is the topological space which for every x in R^2 the set of all deleted diameter circles that their center is in x is a neighbourhood base of x...
Hope you'll be able to help me now because I'm pretty desperate...
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