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atlas [2014/12/04 15:54]
nikolaj
atlas [2014/12/04 15:57]
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 $A$
 + 
 +$\bigcup_{chart\in A}\pi_1(chart)=M$.
  
 === Reference === === Reference ===
 Wikipedia: [[http://​en.wikipedia.org/​wiki/​Atlas_%28topology%29|Atlas (topology)]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Atlas_%28topology%29|Atlas (topology)]]
 ==== Parents ==== ==== Parents ====
-=== Context === +=== Context=== 
-[[Second-countable Hausdorff space]] +[[Second-countable Hausdorff space]], [[Natural number]] 
-=== Requirements ​===+=== Subset of ===
 [[Chart]] [[Chart]]
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