Hausdorff space
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Definition
Given a Topological space (X,J) we say it is Hausdorff[1] or satisfies the Hausdorff axiom if:
- For all a,b∈X that are distinct there exists neighbourhoods to a and b, Na and Nb such that:
- Na∩Nb=∅
References
- Jump up ↑ Introduction to topology - Mendelson - Third Edition