Math 2.0

Algebraic topology Homotopy: basic notions Concept

Path homotopy

Summary

A path homotopy is a deformation of one path into another with both end points held fixed. It is a homotopy relative to the end points {0,1}\set{0, 1} of the interval [0,1][0, 1]. Classes of paths up to path homotopy form the fundamental group and the fundamental groupoid.

Where this leads

3 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Homotopy
About this page
TagCCNKA8C711
URIm2://CCNKA8C711
Kindconcept
WritingW0 stub
MSC55Q05, 57M05
SpecializesRelative homotopy
Changed2 November 2026

Markdown · JSON · Edit on GitHub

What this page needs for W1

  • an inventory row: the row of the inventory that the node accounts for (0 of 1)
  • a source with a locator (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

Used by