Any open subset of ##\mathbb{R}^{n}##;(adsbygoogle = window.adsbygoogle || []).push({});

The n-Sphere, ##\mathbb{S}^n##;

The Klein Bottle.

I guess they don't have a boundary, as a neighborhood of any point of them is homeomorphic to ##\mathbb{R}^n##.

I'd like to know whether my guess is correct and whether the reason I'm giving for them not to have a boundary is valid.

(I actually found on web that the Klein Bottle does not have a boundary.)

**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!

# I Do these manifolds have a boundary?

Have something to add?

Draft saved
Draft deleted

Loading...

Similar Threads - manifolds boundary | Date |
---|---|

I Describing 3d Manifold Objects as a Hypersurface | Dec 21, 2017 |

A Questions about Covering maps, manifolds, compactness | Oct 26, 2017 |

A Connected sum of manifolds and free group isomorphisms | Oct 23, 2017 |

Insights A Journey to The Manifold SU(2) - Part II - Comments | Oct 19, 2017 |

Boundary of a product manifold | Mar 11, 2012 |

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