Hi,(adsbygoogle = window.adsbygoogle || []).push({});

can someone tell me where I can find the term: "homeotopic" (or, something like that, I don't know how to write in English).

My professor mentioned that term in the line integral, here it is:

Let [itex]\Omega \subseteq \mathbb{R}^k[/itex] be area (open and connected set). Curves [itex]\varphi, \psi: [\alpha, \beta]\longrightarrow \Omega[/itex] are continuous.

[itex]\varphi[/itex] and [itex]\psi[/itex] are homotopic if there is continuous function [itex]H:[\alpha, \beta]\times[0,1]\longrightarrow \Omega[/itex] such that valid [itex]H(t,0)=\varphi(t)[/itex] and [itex]H(t,1)=\psi(t)[/itex].

Sorry for bad English.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Line integral - term

Loading...

Similar Threads - Line integral term | Date |
---|---|

I Evaluation of a line integral | Sep 14, 2017 |

I Lorentzian line shape integration | Jun 9, 2017 |

A Time differentiation of fluid line integrals | Apr 7, 2017 |

I Vector Calculus: What do these terms mean? | Dec 2, 2016 |

I Line integral limits | Sep 10, 2016 |

**Physics Forums - The Fusion of Science and Community**