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Thread: Topology: multiple boundaries

  1. #1 Topology: multiple boundaries 
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    Is it possible for a boundary point of a set to be a boundary point for multiple other sets, in the sense that any neighborhood of a point of A contains points of BOTH B and C? If so can you give me an example? If so is it then the case that an entire boundary set can be a boundary of A with both B and C? If so what are the rules governing closed and open sets? If so, is there any necessary relation between B and C?


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