Talk:Prime end: Difference between revisions
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== Unfortunately, the "formal definition" is not a formal definition == |
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The so-called "formal definition" of prime ends — the only definition in this article — is as follows: |
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"''The set of prime ends of the domain B is the set of equivalence classes of chains of arcs converging to a point on the boundary of B.'' |
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"''In this way, a point in the boundary may correspond to many points in the prime ends of B, and conversely, many points in the boundary may correspond to a point in the prime ends of B.''" |
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This meantions "equivalence classes of chains of arcs". |
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Unfortunately neither the concept of "chains of arcs", nor the "equivalence classes" referred to here, is explained '''at all'''. |
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Can someone who both understands the concept '''and''' who understands how to explain things please fix this?[[Special:Contributions/2600:1700:E1C0:F340:51D8:9622:7136:B603|2600:1700:E1C0:F340:51D8:9622:7136:B603]] ([[User talk:2600:1700:E1C0:F340:51D8:9622:7136:B603|talk]]) 04:05, 24 November 2017 (UTC) |
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Latest revision as of 03:43, 9 March 2024
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Unfortunately, the "formal definition" is not a formal definition
[edit]The so-called "formal definition" of prime ends — the only definition in this article — is as follows:
"The set of prime ends of the domain B is the set of equivalence classes of chains of arcs converging to a point on the boundary of B.
"In this way, a point in the boundary may correspond to many points in the prime ends of B, and conversely, many points in the boundary may correspond to a point in the prime ends of B."
This meantions "equivalence classes of chains of arcs".
Unfortunately neither the concept of "chains of arcs", nor the "equivalence classes" referred to here, is explained at all.
Can someone who both understands the concept and who understands how to explain things please fix this?2600:1700:E1C0:F340:51D8:9622:7136:B603 (talk) 04:05, 24 November 2017 (UTC)