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There should be a discussion of
Hurewicz theory on this page, or on a separate page. This should include the basic definitions, examples of monodromy representations, and a discussion of how the representation theory of the symmetric group relates to this subject. A good starting place looks like
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These example would be useful if they where written for a wider audience. As they are, they can be understood only by people knowing scheme theory, and are thus of no use for others (see
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This is extremely bad writing. The phrase "the largest possible open set" doesn't mean anything, because it doesn't specify what kind of open set it is referring to.
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The article never defines the term "ramified". Is it equivalent to "branched"? Is an "unramified covering" a covering map? Some clarification is needed here. --
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Please keep the scheme theoretic examples on this page! The main problem with wikipedia math pages is the lack of useful examples.
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a map is a branched covering if it is a covering map everywhere except for a nowhere dense set known as the branch set
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There is a circular definition with unramified covering, ramification locus and the definition of the open set W.
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I hope someone familiar with the subject can provide a definition, at least for the topological case.
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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Adolph
Hurwitz (1904-56) and Witold Hurewicz (1859-1919) are two distinct mathematicians.
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You refer to "Hurewicz theory" but the article you link to is about "Hurwitz theory".
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Nothing wrong with including a rough description — that is a very good idea.
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Let's have a separate section then for a scheme-theoretic interpretation.
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what the ramification locus is. That complement is the empty set.)
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383:{\displaystyle W}
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