MathDB
analysis

Source: miklos schweitzer 1994 q9

October 16, 2021
topology

Problem Statement

Let X be a dense set homeomorphic to Rn\mathbb R^n in the compact Hausdorff space Y. Prove that for n≥2n\geq 2 , Y∖XY \setminus X is connected, and for n=1 it consists of at most two components.
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