Encyclopedia > Talk:Covering map

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Talk:Covering map

User:Charles Matthews There is now some overlap between the content here and at local homeomorphism.

The way covering map has been defined allows it not to be surjective (the condition holds vacuously for points with empty pre-image); the usual definition has a covering map being surjective. I think surjective should be added to the definition since that's what is needed for most purposes.

Just noticed that one property that a covering map is supposed to have, according to whoever made the page, is being surjective. So I'll add 'surjective' to the definition.



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