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second countability is hereditary∗
matte†
2013-03-21 19:24:50
Suppose X is a second countable topological space and A is a subset in X.
Then A (when equipped with the subspace topology) is also second countable.
∗ hSecondCountabilityIsHereditaryi created: h2013-03-21i by: hmattei version: h37208i
Privacy setting: h1i hTheoremi h54D70i
† This text is available under the Creative Commons Attribution/Share-Alike License 3.0.
You can reuse this document or portions thereof only if you do so under terms that are
compatible with the CC-BY-SA license.
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