I just learned the Brouwer fixed-point theorem of dimention 1 and 2.But the exercises make me sad,I can't solve them.(adsbygoogle = window.adsbygoogle || []).push({});

Suppose X and Y are of the same homotopy type and X has the fixed-point property.Does Y also have it?

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

Dismiss Notice

Join Physics Forums Today!

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

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

# How to judge whether a space has the fixed-point property?

Loading...

Similar Threads - judge whether space | Date |
---|---|

I Coordinate systems vs. Euclidean space | Dec 4, 2017 |

I Definition of tangent space: why germs? | Oct 2, 2017 |

A Integration along a loop in the base space of U(1) bundles | Oct 1, 2017 |

How to determine whether the preimage of a point is a imbedding submanifold? | Apr 7, 2012 |

Question whether 2 spaces are diffeomorphic | Nov 3, 2009 |

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