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Section 31: Problem 2 Solution »

Section 31: Problem 1 Solution

Working problems is a crucial part of learning mathematics. No one can learn topology merely by poring over the definitions, theorems, and examples that are worked out in the text. One must work part of it out for oneself. To provide that opportunity is the purpose of the exercises.
James R. Munkres
Show that if is regular, every pair of points of have neighborhoods whose closures are disjoint.
For and take first a neighborhood of such that , and then a neighborhood of such that .