Math 2.0

Differential geometry Concept

Closed curve

Builds on Parametrised curve

Summary

A closed curve is a parametrised curve on a closed interval whose end point is equal to its initial point. Its image can be seen as the image of a circle under a continuous map.

Reading path

To understand this page from the ground up, read these 5 pages in order. The foundations come first.

Show the path as a graph
Each page uses the pages above it. The colour of the bar on a box shows how strong the evidence is, and the box also gives it as text. The list has the same pages.
  • no evidence level
  1. Euclidean space object
  2. Function concept
  3. Vector-valued function concept
  4. Parametrised curve concept
  5. Closed curve concept

Where this leads

2 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Curve, Topological curve
About this page
Tag045YFKRW0P
URIm2://045YFKRW0P
Aliasesloop
Kindconcept
WritingW1 stated
MSC53A04
SpecializesParametrised curve
UsesParametrised curve

Markdown · JSON · Edit on GitHub

What this page needs for W2

  • edge instance_of in: at least two examples (0 of 2)
  • edge not_instance_of in: at least one non-example (0 of 1)

The writing levels say how complete the text of a page is. They do not measure its truth.

What links here

Definitions

Special cases

Results about this

Used by