Construct · 1 fields · 1 citations

Jordan curve theorem: a standalone construct

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Topology

a simple closed curve in the plane separates it into exactly two components, one bounded and one unbounded, with the curve as common boundary.

In topology, Jordan curve theorem refers to a simple closed curve in the plane separates it into exactly two components, one bounded and one unbounded, with the curve as common boundary. This meaning comes from Veblen (1905) in Transactions of the American Mathematical Society.[1]

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Nearby constructs

boundary4 fields · 4 citationsjingle · one word, four constructs closed3 fields · 3 citationsjingle · one word, three constructs plane1 fields · 1 citationsanchor · a standalone construct

References

Veblen, O. (1905). Theory on plane curves in non-metrical analysis situs. Transactions of the American Mathematical Society, 6(1), 83-98. https://doi.org/10.1090/s0002-9947-1905-1500697-4

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