1. ## Topology-Deleted diameter plane

Prove that the deleted diameter plane is locally connected and path-connected.

2. Originally Posted by WannaBe
Prove that the deleted diameter plane is locally connected and path-connected.

What is your definition of "deleted diameter plane"?

3. 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...

Thanks