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- Oct 20th 2012, 12:37 AMvercammenTopology exercise.
Picture attached.

- Oct 20th 2012, 05:20 AMPlatoRe: Topology exercise.
- Oct 30th 2012, 11:46 PMvercammenRe: Topology exercise.
I expect any kind of help. Even hint or the first step.

Anyway, here is what I got

1. Clearly is always true, even when is not open. Let , and an open neighborh. of . It necessarily meets a point of , say . As , and is a neighborhood of , . So .

2. We consider the real line with usual topology, and . The LHS is but the RHS is empty. - Nov 19th 2012, 07:30 PMwallisonlineRe: Topology exercise.
What are some good books for a layperson who wants to teach himself set theory?

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