Dan whitman topology

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August undefined, 2024

WebTheorem 5. Let X be a set equipped with the ﬁnite complement topology. If (x n) n∈Z + is an inﬁnite sequence of distinct points in X then (x n) converges to every x in X. Proof. Let U be a neighborhood of x ∈ X, i.e X −U is ﬁnite. It follows that x n ∈ U, for all, but ﬁnitely many, n ∈ Z +, i.e. (x n) converges to x.

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Topology 2nd Edition By James Munkres Solutions

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Dan whitman topology

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