- #1

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Say Y is the one point compactification of the positive integers. I know Y must contain Z+ and Y\Z+ is a single point. Also Y is a compact Hausdorff space.

But I am not sure how to show this.

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- Thread starter math8
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- #1

- 160

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Say Y is the one point compactification of the positive integers. I know Y must contain Z+ and Y\Z+ is a single point. Also Y is a compact Hausdorff space.

But I am not sure how to show this.

- #2

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- #3

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- #4

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Are you using the discrete topology? If so, it's immediately continuous.

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