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atlas [2014/12/04 15:54] nikolaj |
atlas [2014/12/04 15:55] nikolaj |
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| === Alternative definitions === | === Alternative definitions === | ||
| - | One can equivalently postulate that $M$ is covered by the union of all the open subsets $U$ given with the charts $\langle U,\varphi\rangle$ of an atlas $A$, i.e. $\bigcup_{chart\in A}\pi_1(chart)=M$. | + | One can equivalently postulate that $M$ is covered by the union of all the open subsets $U$ given with the charts $\langle U,\varphi\rangle$ of an atlas $A$: |
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| + | $\bigcup_{chart\in A}\pi_1(chart)=M$. | ||
| === Reference === | === Reference === | ||
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| === Context === | === Context === | ||
| [[Second-countable Hausdorff space]] | [[Second-countable Hausdorff space]] | ||
| - | === Requirements === | + | === Subset of === |
| [[Chart]] | [[Chart]] | ||
