15 lines
405 B
Markdown
15 lines
405 B
Markdown
# Math4201 Topology I (Lecture 30)
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## Compact and connected spaces
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### Locally compact
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#### Theorem of Homeomorphism over locally compact Hausdorff spaces
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$X$ is a locally compact Hausdorff space if and only if there exists topological space $Y$ satisfying the following properties:
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1. $X$ is a subspace of $Y$.
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2. $Y-X$ has one point (usually denoted by $\infty$).
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3. $Y$ is compact and Hausdorff.
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